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Finding the Fourth Proportional to 110,089.92, 151,875.36 and 65,352

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Solution

The fourth proportional to 110,089.92, 151,875.36 and 65,352 is: 90,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,089.92 : 151,875.36 = 65,352 : x
  2. Step 2: Convert to fraction form
    110,089.92/151,875.36 = 65,352/x
  3. Step 3: Cross multiply
    110,089.92x = 151,875.36 × 65,352
  4. Step 4: Simplify right side
    110,089.92x = 9,925,358,526.72
  5. Step 5: Solve for x
    x = 9,925,358,526.72/110,089.92
  6. Step 6: Final answer
    x = 90,156.83

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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.