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Finding the Fourth Proportional to 153,684.40, 230,526.24 and 42,876.40

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Solution

The fourth proportional to 153,684.40, 230,526.24 and 42,876.40 is: 64,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684.40 : 230,526.24 = 42,876.40 : x
  2. Step 2: Convert to fraction form
    153,684.40/230,526.24 = 42,876.40/x
  3. Step 3: Cross multiply
    153,684.40x = 230,526.24 × 42,876.40
  4. Step 4: Simplify right side
    153,684.40x = 9,884,135,276.74
  5. Step 5: Solve for x
    x = 9,884,135,276.74/153,684.40
  6. Step 6: Final answer
    x = 64,314.50

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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.