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Finding the Fourth Proportional to 97,253.73, 145,119.95 and 77,034.10

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Solution

The fourth proportional to 97,253.73, 145,119.95 and 77,034.10 is: 114,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.73 : 145,119.95 = 77,034.10 : x
  2. Step 2: Convert to fraction form
    97,253.73/145,119.95 = 77,034.10/x
  3. Step 3: Cross multiply
    97,253.73x = 145,119.95 × 77,034.10
  4. Step 4: Simplify right side
    97,253.73x = 11,179,184,740.30
  5. Step 5: Solve for x
    x = 11,179,184,740.30/97,253.73
  6. Step 6: Final answer
    x = 114,948.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.