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Finding the Fourth Proportional to 128,002.24, 176,643.60 and 71,416

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Solution

The fourth proportional to 128,002.24, 176,643.60 and 71,416 is: 98,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,002.24 : 176,643.60 = 71,416 : x
  2. Step 2: Convert to fraction form
    128,002.24/176,643.60 = 71,416/x
  3. Step 3: Cross multiply
    128,002.24x = 176,643.60 × 71,416
  4. Step 4: Simplify right side
    128,002.24x = 12,615,179,337.60
  5. Step 5: Solve for x
    x = 12,615,179,337.60/128,002.24
  6. Step 6: Final answer
    x = 98,554.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.