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Finding the Fourth Proportional to 105,897.09, 158,798.99 and 49,753.16

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Solution

The fourth proportional to 105,897.09, 158,798.99 and 49,753.16 is: 74,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,897.09 : 158,798.99 = 49,753.16 : x
  2. Step 2: Convert to fraction form
    105,897.09/158,798.99 = 49,753.16/x
  3. Step 3: Cross multiply
    105,897.09x = 158,798.99 × 49,753.16
  4. Step 4: Simplify right side
    105,897.09x = 7,900,750,514.55
  5. Step 5: Solve for x
    x = 7,900,750,514.55/105,897.09
  6. Step 6: Final answer
    x = 74,607.82

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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.