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Finding the Fourth Proportional to 375,986.61, 564,013.16 and 106,117.16

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Solution

The fourth proportional to 375,986.61, 564,013.16 and 106,117.16 is: 159,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,986.61 : 564,013.16 = 106,117.16 : x
  2. Step 2: Convert to fraction form
    375,986.61/564,013.16 = 106,117.16/x
  3. Step 3: Cross multiply
    375,986.61x = 564,013.16 × 106,117.16
  4. Step 4: Simplify right side
    375,986.61x = 59,851,471,391.17
  5. Step 5: Solve for x
    x = 59,851,471,391.17/375,986.61
  6. Step 6: Final answer
    x = 159,185.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.