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Finding the Fourth Proportional to 152,955.96, 211,092.30 and 89,314.08

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Solution

The fourth proportional to 152,955.96, 211,092.30 and 89,314.08 is: 123,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,955.96 : 211,092.30 = 89,314.08 : x
  2. Step 2: Convert to fraction form
    152,955.96/211,092.30 = 89,314.08/x
  3. Step 3: Cross multiply
    152,955.96x = 211,092.30 × 89,314.08
  4. Step 4: Simplify right side
    152,955.96x = 18,853,514,569.58
  5. Step 5: Solve for x
    x = 18,853,514,569.58/152,955.96
  6. Step 6: Final answer
    x = 123,261.07

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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.