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Finding the Fourth Proportional to 153,903.40, 230,487.90 and 74,763.40

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Solution

The fourth proportional to 153,903.40, 230,487.90 and 74,763.40 is: 111,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,903.40 : 230,487.90 = 74,763.40 : x
  2. Step 2: Convert to fraction form
    153,903.40/230,487.90 = 74,763.40/x
  3. Step 3: Cross multiply
    153,903.40x = 230,487.90 × 74,763.40
  4. Step 4: Simplify right side
    153,903.40x = 17,232,059,062.86
  5. Step 5: Solve for x
    x = 17,232,059,062.86/153,903.40
  6. Step 6: Final answer
    x = 111,966.72

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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.