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Finding the Fourth Proportional to 206,897.60, 310,346.40 and 147,411.20

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Solution

The fourth proportional to 206,897.60, 310,346.40 and 147,411.20 is: 221,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.60 : 310,346.40 = 147,411.20 : x
  2. Step 2: Convert to fraction form
    206,897.60/310,346.40 = 147,411.20/x
  3. Step 3: Cross multiply
    206,897.60x = 310,346.40 × 147,411.20
  4. Step 4: Simplify right side
    206,897.60x = 45,748,535,239.68
  5. Step 5: Solve for x
    x = 45,748,535,239.68/206,897.60
  6. Step 6: Final answer
    x = 221,116.80

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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.