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Finding the Fourth Proportional to 212,068.89, 292,647.65 and 116,574.90

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Solution

The fourth proportional to 212,068.89, 292,647.65 and 116,574.90 is: 160,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,068.89 : 292,647.65 = 116,574.90 : x
  2. Step 2: Convert to fraction form
    212,068.89/292,647.65 = 116,574.90/x
  3. Step 3: Cross multiply
    212,068.89x = 292,647.65 × 116,574.90
  4. Step 4: Simplify right side
    212,068.89x = 34,115,369,951.11
  5. Step 5: Solve for x
    x = 34,115,369,951.11/212,068.89
  6. Step 6: Final answer
    x = 160,869.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.