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Finding the Fourth Proportional to 105,048.96, 144,961.63 and 59,720.64

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Solution

The fourth proportional to 105,048.96, 144,961.63 and 59,720.64 is: 82,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.96 : 144,961.63 = 59,720.64 : x
  2. Step 2: Convert to fraction form
    105,048.96/144,961.63 = 59,720.64/x
  3. Step 3: Cross multiply
    105,048.96x = 144,961.63 × 59,720.64
  4. Step 4: Simplify right side
    105,048.96x = 8,657,201,319.04
  5. Step 5: Solve for x
    x = 8,657,201,319.04/105,048.96
  6. Step 6: Final answer
    x = 82,411.11

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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.