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Finding the Fourth Proportional to 185,657.06, 256,207.02 and 100,774.10

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Solution

The fourth proportional to 185,657.06, 256,207.02 and 100,774.10 is: 139,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,657.06 : 256,207.02 = 100,774.10 : x
  2. Step 2: Convert to fraction form
    185,657.06/256,207.02 = 100,774.10/x
  3. Step 3: Cross multiply
    185,657.06x = 256,207.02 × 100,774.10
  4. Step 4: Simplify right side
    185,657.06x = 25,819,031,854.18
  5. Step 5: Solve for x
    x = 25,819,031,854.18/185,657.06
  6. Step 6: Final answer
    x = 139,068.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.