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Finding the Fourth Proportional to 153,763.79, 230,644.31 and 48,582.77

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Solution

The fourth proportional to 153,763.79, 230,644.31 and 48,582.77 is: 72,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,763.79 : 230,644.31 = 48,582.77 : x
  2. Step 2: Convert to fraction form
    153,763.79/230,644.31 = 48,582.77/x
  3. Step 3: Cross multiply
    153,763.79x = 230,644.31 × 48,582.77
  4. Step 4: Simplify right side
    153,763.79x = 11,205,338,068.40
  5. Step 5: Solve for x
    x = 11,205,338,068.40/153,763.79
  6. Step 6: Final answer
    x = 72,873.71

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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.