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Finding the Fourth Proportional to 153,215.84, 229,823.76 and 48,043.28

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Solution

The fourth proportional to 153,215.84, 229,823.76 and 48,043.28 is: 72,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,215.84 : 229,823.76 = 48,043.28 : x
  2. Step 2: Convert to fraction form
    153,215.84/229,823.76 = 48,043.28/x
  3. Step 3: Cross multiply
    153,215.84x = 229,823.76 × 48,043.28
  4. Step 4: Simplify right side
    153,215.84x = 11,041,486,103.21
  5. Step 5: Solve for x
    x = 11,041,486,103.21/153,215.84
  6. Step 6: Final answer
    x = 72,064.91

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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.