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Finding the Fourth Proportional to 152,394.96, 210,304.82 and 84,411.91

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Solution

The fourth proportional to 152,394.96, 210,304.82 and 84,411.91 is: 116,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,394.96 : 210,304.82 = 84,411.91 : x
  2. Step 2: Convert to fraction form
    152,394.96/210,304.82 = 84,411.91/x
  3. Step 3: Cross multiply
    152,394.96x = 210,304.82 × 84,411.91
  4. Step 4: Simplify right side
    152,394.96x = 17,752,231,538.41
  5. Step 5: Solve for x
    x = 17,752,231,538.41/152,394.96
  6. Step 6: Final answer
    x = 116,488.31

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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.