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Finding the Fourth Proportional to 97,458.61, 146,239.15 and 69,178.07

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Solution

The fourth proportional to 97,458.61, 146,239.15 and 69,178.07 is: 103,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.61 : 146,239.15 = 69,178.07 : x
  2. Step 2: Convert to fraction form
    97,458.61/146,239.15 = 69,178.07/x
  3. Step 3: Cross multiply
    97,458.61x = 146,239.15 × 69,178.07
  4. Step 4: Simplify right side
    97,458.61x = 10,116,541,251.30
  5. Step 5: Solve for x
    x = 10,116,541,251.30/97,458.61
  6. Step 6: Final answer
    x = 103,803.47

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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.