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Finding the Fourth Proportional to 153,519.84, 230,287.92 and 48,347

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Solution

The fourth proportional to 153,519.84, 230,287.92 and 48,347 is: 72,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,519.84 : 230,287.92 = 48,347 : x
  2. Step 2: Convert to fraction form
    153,519.84/230,287.92 = 48,347/x
  3. Step 3: Cross multiply
    153,519.84x = 230,287.92 × 48,347
  4. Step 4: Simplify right side
    153,519.84x = 11,133,730,068.24
  5. Step 5: Solve for x
    x = 11,133,730,068.24/153,519.84
  6. Step 6: Final answer
    x = 72,523.07

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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.