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Finding the Fourth Proportional to 266,146.64, 366,350.13 and 232,095.05

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Solution

The fourth proportional to 266,146.64, 366,350.13 and 232,095.05 is: 319,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,146.64 : 366,350.13 = 232,095.05 : x
  2. Step 2: Convert to fraction form
    266,146.64/366,350.13 = 232,095.05/x
  3. Step 3: Cross multiply
    266,146.64x = 366,350.13 × 232,095.05
  4. Step 4: Simplify right side
    266,146.64x = 85,028,050,579.38
  5. Step 5: Solve for x
    x = 85,028,050,579.38/266,146.64
  6. Step 6: Final answer
    x = 319,478.20

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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.