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Finding the Fourth Proportional to 152,159.52, 209,964 and 84,165.72

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Solution

The fourth proportional to 152,159.52, 209,964 and 84,165.72 is: 116,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,159.52 : 209,964 = 84,165.72 : x
  2. Step 2: Convert to fraction form
    152,159.52/209,964 = 84,165.72/x
  3. Step 3: Cross multiply
    152,159.52x = 209,964 × 84,165.72
  4. Step 4: Simplify right side
    152,159.52x = 17,671,771,234.08
  5. Step 5: Solve for x
    x = 17,671,771,234.08/152,159.52
  6. Step 6: Final answer
    x = 116,139.77

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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.