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Finding the Fourth Proportional to 211,966.32, 292,512.24 and 116,470.80

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Solution

The fourth proportional to 211,966.32, 292,512.24 and 116,470.80 is: 160,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,966.32 : 292,512.24 = 116,470.80 : x
  2. Step 2: Convert to fraction form
    211,966.32/292,512.24 = 116,470.80/x
  3. Step 3: Cross multiply
    211,966.32x = 292,512.24 × 116,470.80
  4. Step 4: Simplify right side
    211,966.32x = 34,069,134,602.59
  5. Step 5: Solve for x
    x = 34,069,134,602.59/211,966.32
  6. Step 6: Final answer
    x = 160,729.00

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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.