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Finding the Fourth Proportional to 212,066.64, 292,644.54 and 116,572.65

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Solution

The fourth proportional to 212,066.64, 292,644.54 and 116,572.65 is: 160,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,066.64 : 292,644.54 = 116,572.65 : x
  2. Step 2: Convert to fraction form
    212,066.64/292,644.54 = 116,572.65/x
  3. Step 3: Cross multiply
    212,066.64x = 292,644.54 × 116,572.65
  4. Step 4: Simplify right side
    212,066.64x = 34,114,349,535.83
  5. Step 5: Solve for x
    x = 34,114,349,535.83/212,066.64
  6. Step 6: Final answer
    x = 160,866.18

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1.5x scale

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.