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Finding the Fourth Proportional to 153,148.50, 229,864.90 and 78,322.12

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Solution

The fourth proportional to 153,148.50, 229,864.90 and 78,322.12 is: 117,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,148.50 : 229,864.90 = 78,322.12 : x
  2. Step 2: Convert to fraction form
    153,148.50/229,864.90 = 78,322.12/x
  3. Step 3: Cross multiply
    153,148.50x = 229,864.90 × 78,322.12
  4. Step 4: Simplify right side
    153,148.50x = 18,003,506,281.59
  5. Step 5: Solve for x
    x = 18,003,506,281.59/153,148.50
  6. Step 6: Final answer
    x = 117,555.88

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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.