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Finding the Fourth Proportional to 238,086.51, 328,564.80 and 130,663.38

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Solution

The fourth proportional to 238,086.51, 328,564.80 and 130,663.38 is: 180,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,086.51 : 328,564.80 = 130,663.38 : x
  2. Step 2: Convert to fraction form
    238,086.51/328,564.80 = 130,663.38/x
  3. Step 3: Cross multiply
    238,086.51x = 328,564.80 × 130,663.38
  4. Step 4: Simplify right side
    238,086.51x = 42,931,387,317.02
  5. Step 5: Solve for x
    x = 42,931,387,317.02/238,086.51
  6. Step 6: Final answer
    x = 180,318.44

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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.