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Finding the Fourth Proportional to 152,414.63, 210,332.16 and 84,436.02

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Solution

The fourth proportional to 152,414.63, 210,332.16 and 84,436.02 is: 116,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.63 : 210,332.16 = 84,436.02 : x
  2. Step 2: Convert to fraction form
    152,414.63/210,332.16 = 84,436.02/x
  3. Step 3: Cross multiply
    152,414.63x = 210,332.16 × 84,436.02
  4. Step 4: Simplify right side
    152,414.63x = 17,759,610,468.40
  5. Step 5: Solve for x
    x = 17,759,610,468.40/152,414.63
  6. Step 6: Final answer
    x = 116,521.69

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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.