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Finding the Fourth Proportional to 264,970.77, 365,656.09 and 144,109.46

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Solution

The fourth proportional to 264,970.77, 365,656.09 and 144,109.46 is: 198,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,970.77 : 365,656.09 = 144,109.46 : x
  2. Step 2: Convert to fraction form
    264,970.77/365,656.09 = 144,109.46/x
  3. Step 3: Cross multiply
    264,970.77x = 365,656.09 × 144,109.46
  4. Step 4: Simplify right side
    264,970.77x = 52,694,501,675.61
  5. Step 5: Solve for x
    x = 52,694,501,675.61/264,970.77
  6. Step 6: Final answer
    x = 198,869.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.