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Finding the Fourth Proportional to 97,089.65, 134,025.17 and 65,277

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Solution

The fourth proportional to 97,089.65, 134,025.17 and 65,277 is: 90,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,089.65 : 134,025.17 = 65,277 : x
  2. Step 2: Convert to fraction form
    97,089.65/134,025.17 = 65,277/x
  3. Step 3: Cross multiply
    97,089.65x = 134,025.17 × 65,277
  4. Step 4: Simplify right side
    97,089.65x = 8,748,760,695.71
  5. Step 5: Solve for x
    x = 8,748,760,695.71/97,089.65
  6. Step 6: Final answer
    x = 90,110.13

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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.