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Finding the Fourth Proportional to 134,864.68, 202,421.30 and 68,352

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Solution

The fourth proportional to 134,864.68, 202,421.30 and 68,352 is: 102,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,864.68 : 202,421.30 = 68,352 : x
  2. Step 2: Convert to fraction form
    134,864.68/202,421.30 = 68,352/x
  3. Step 3: Cross multiply
    134,864.68x = 202,421.30 × 68,352
  4. Step 4: Simplify right side
    134,864.68x = 13,835,900,697.60
  5. Step 5: Solve for x
    x = 13,835,900,697.60/134,864.68
  6. Step 6: Final answer
    x = 102,590.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.