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Finding the Fourth Proportional to 153,316.60, 229,974.90 and 133,041.40

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Solution

The fourth proportional to 153,316.60, 229,974.90 and 133,041.40 is: 199,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,316.60 : 229,974.90 = 133,041.40 : x
  2. Step 2: Convert to fraction form
    153,316.60/229,974.90 = 133,041.40/x
  3. Step 3: Cross multiply
    153,316.60x = 229,974.90 × 133,041.40
  4. Step 4: Simplify right side
    153,316.60x = 30,596,182,660.86
  5. Step 5: Solve for x
    x = 30,596,182,660.86/153,316.60
  6. Step 6: Final answer
    x = 199,562.10

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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.