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Finding the Fourth Proportional to 153,886.92, 230,657.82 and 100,681.14

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Solution

The fourth proportional to 153,886.92, 230,657.82 and 100,681.14 is: 150,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.92 : 230,657.82 = 100,681.14 : x
  2. Step 2: Convert to fraction form
    153,886.92/230,657.82 = 100,681.14/x
  3. Step 3: Cross multiply
    153,886.92x = 230,657.82 × 100,681.14
  4. Step 4: Simplify right side
    153,886.92x = 23,222,892,267.51
  5. Step 5: Solve for x
    x = 23,222,892,267.51/153,886.92
  6. Step 6: Final answer
    x = 150,908.81

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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.