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Finding the Fourth Proportional to 116,482.57, 160,349.26 and 86,210.85

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Solution

The fourth proportional to 116,482.57, 160,349.26 and 86,210.85 is: 118,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,482.57 : 160,349.26 = 86,210.85 : x
  2. Step 2: Convert to fraction form
    116,482.57/160,349.26 = 86,210.85/x
  3. Step 3: Cross multiply
    116,482.57x = 160,349.26 × 86,210.85
  4. Step 4: Simplify right side
    116,482.57x = 13,823,846,001.47
  5. Step 5: Solve for x
    x = 13,823,846,001.47/116,482.57
  6. Step 6: Final answer
    x = 118,677.38

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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.