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Finding the Fourth Proportional to 182,898.77, 274,323.95 and 83,036.00

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Solution

The fourth proportional to 182,898.77, 274,323.95 and 83,036.00 is: 124,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,898.77 : 274,323.95 = 83,036.00 : x
  2. Step 2: Convert to fraction form
    182,898.77/274,323.95 = 83,036.00/x
  3. Step 3: Cross multiply
    182,898.77x = 274,323.95 × 83,036.00
  4. Step 4: Simplify right side
    182,898.77x = 22,778,761,725.40
  5. Step 5: Solve for x
    x = 22,778,761,725.40/182,898.77
  6. Step 6: Final answer
    x = 124,543.00

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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.