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Finding the Fourth Proportional to 229,577.70, 344,402.16 and 117,197.04

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Solution

The fourth proportional to 229,577.70, 344,402.16 and 117,197.04 is: 175,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,577.70 : 344,402.16 = 117,197.04 : x
  2. Step 2: Convert to fraction form
    229,577.70/344,402.16 = 117,197.04/x
  3. Step 3: Cross multiply
    229,577.70x = 344,402.16 × 117,197.04
  4. Step 4: Simplify right side
    229,577.70x = 40,362,913,721.61
  5. Step 5: Solve for x
    x = 40,362,913,721.61/229,577.70
  6. Step 6: Final answer
    x = 175,813.74

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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.