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Finding the Fourth Proportional to 158,382, 218,567.16 and 86,762.31

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Solution

The fourth proportional to 158,382, 218,567.16 and 86,762.31 is: 119,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,382 : 218,567.16 = 86,762.31 : x
  2. Step 2: Convert to fraction form
    158,382/218,567.16 = 86,762.31/x
  3. Step 3: Cross multiply
    158,382x = 218,567.16 × 86,762.31
  4. Step 4: Simplify right side
    158,382x = 18,963,390,872.11
  5. Step 5: Solve for x
    x = 18,963,390,872.11/158,382
  6. Step 6: Final answer
    x = 119,731.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.