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Finding the Fourth Proportional to 96,459.72, 144,713.25 and 77,907.87

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Solution

The fourth proportional to 96,459.72, 144,713.25 and 77,907.87 is: 116,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,459.72 : 144,713.25 = 77,907.87 : x
  2. Step 2: Convert to fraction form
    96,459.72/144,713.25 = 77,907.87/x
  3. Step 3: Cross multiply
    96,459.72x = 144,713.25 × 77,907.87
  4. Step 4: Simplify right side
    96,459.72x = 11,274,301,068.28
  5. Step 5: Solve for x
    x = 11,274,301,068.28/96,459.72
  6. Step 6: Final answer
    x = 116,880.92

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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.