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Finding the Fourth Proportional to 229,411.20, 344,116.80 and 71,655.60

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Solution

The fourth proportional to 229,411.20, 344,116.80 and 71,655.60 is: 107,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.20 : 344,116.80 = 71,655.60 : x
  2. Step 2: Convert to fraction form
    229,411.20/344,116.80 = 71,655.60/x
  3. Step 3: Cross multiply
    229,411.20x = 344,116.80 × 71,655.60
  4. Step 4: Simplify right side
    229,411.20x = 24,657,895,774.08
  5. Step 5: Solve for x
    x = 24,657,895,774.08/229,411.20
  6. Step 6: Final answer
    x = 107,483.40

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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.