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Finding the Fourth Proportional to 152,398, 210,302.76 and 84,414.70

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Solution

The fourth proportional to 152,398, 210,302.76 and 84,414.70 is: 116,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,398 : 210,302.76 = 84,414.70 : x
  2. Step 2: Convert to fraction form
    152,398/210,302.76 = 84,414.70/x
  3. Step 3: Cross multiply
    152,398x = 210,302.76 × 84,414.70
  4. Step 4: Simplify right side
    152,398x = 17,752,644,394.57
  5. Step 5: Solve for x
    x = 17,752,644,394.57/152,398
  6. Step 6: Final answer
    x = 116,488.70

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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.