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Finding the Fourth Proportional to 152,508.16, 210,461.12 and 85,440.64

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Solution

The fourth proportional to 152,508.16, 210,461.12 and 85,440.64 is: 117,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,508.16 : 210,461.12 = 85,440.64 : x
  2. Step 2: Convert to fraction form
    152,508.16/210,461.12 = 85,440.64/x
  3. Step 3: Cross multiply
    152,508.16x = 210,461.12 × 85,440.64
  4. Step 4: Simplify right side
    152,508.16x = 17,981,932,787.92
  5. Step 5: Solve for x
    x = 17,981,932,787.92/152,508.16
  6. Step 6: Final answer
    x = 117,908.00

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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.