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Finding the Fourth Proportional to 96,294.98, 144,460.56 and 43,708.16

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Solution

The fourth proportional to 96,294.98, 144,460.56 and 43,708.16 is: 65,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,294.98 : 144,460.56 = 43,708.16 : x
  2. Step 2: Convert to fraction form
    96,294.98/144,460.56 = 43,708.16/x
  3. Step 3: Cross multiply
    96,294.98x = 144,460.56 × 43,708.16
  4. Step 4: Simplify right side
    96,294.98x = 6,314,105,270.17
  5. Step 5: Solve for x
    x = 6,314,105,270.17/96,294.98
  6. Step 6: Final answer
    x = 65,570.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.