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Finding the Fourth Proportional to 282,051.90, 423,036.30 and 92,532.30

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Solution

The fourth proportional to 282,051.90, 423,036.30 and 92,532.30 is: 138,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,051.90 : 423,036.30 = 92,532.30 : x
  2. Step 2: Convert to fraction form
    282,051.90/423,036.30 = 92,532.30/x
  3. Step 3: Cross multiply
    282,051.90x = 423,036.30 × 92,532.30
  4. Step 4: Simplify right side
    282,051.90x = 39,144,521,822.49
  5. Step 5: Solve for x
    x = 39,144,521,822.49/282,051.90
  6. Step 6: Final answer
    x = 138,784.82

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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.