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Finding the Fourth Proportional to 116,242.15, 160,414.08 and 65,254.98

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Solution

The fourth proportional to 116,242.15, 160,414.08 and 65,254.98 is: 90,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,242.15 : 160,414.08 = 65,254.98 : x
  2. Step 2: Convert to fraction form
    116,242.15/160,414.08 = 65,254.98/x
  3. Step 3: Cross multiply
    116,242.15x = 160,414.08 × 65,254.98
  4. Step 4: Simplify right side
    116,242.15x = 10,467,817,587.22
  5. Step 5: Solve for x
    x = 10,467,817,587.22/116,242.15
  6. Step 6: Final answer
    x = 90,051.82

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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.