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Finding the Fourth Proportional to 212,024.43, 292,590.32 and 116,529.08

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Solution

The fourth proportional to 212,024.43, 292,590.32 and 116,529.08 is: 160,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,024.43 : 292,590.32 = 116,529.08 : x
  2. Step 2: Convert to fraction form
    212,024.43/292,590.32 = 116,529.08/x
  3. Step 3: Cross multiply
    212,024.43x = 292,590.32 × 116,529.08
  4. Step 4: Simplify right side
    212,024.43x = 34,095,278,760.91
  5. Step 5: Solve for x
    x = 34,095,278,760.91/212,024.43
  6. Step 6: Final answer
    x = 160,808.26

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