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Finding the Fourth Proportional to 105,047.64, 144,984.54 and 62,608.86

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Solution

The fourth proportional to 105,047.64, 144,984.54 and 62,608.86 is: 86,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.64 : 144,984.54 = 62,608.86 : x
  2. Step 2: Convert to fraction form
    105,047.64/144,984.54 = 62,608.86/x
  3. Step 3: Cross multiply
    105,047.64x = 144,984.54 × 62,608.86
  4. Step 4: Simplify right side
    105,047.64x = 9,077,316,767.02
  5. Step 5: Solve for x
    x = 9,077,316,767.02/105,047.64
  6. Step 6: Final answer
    x = 86,411.43

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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.