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Finding the Fourth Proportional to 185,347.64, 255,780.13 and 100,464.76

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Solution

The fourth proportional to 185,347.64, 255,780.13 and 100,464.76 is: 138,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,347.64 : 255,780.13 = 100,464.76 : x
  2. Step 2: Convert to fraction form
    185,347.64/255,780.13 = 100,464.76/x
  3. Step 3: Cross multiply
    185,347.64x = 255,780.13 × 100,464.76
  4. Step 4: Simplify right side
    185,347.64x = 25,696,889,373.22
  5. Step 5: Solve for x
    x = 25,696,889,373.22/185,347.64
  6. Step 6: Final answer
    x = 138,641.58

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1.5x scale

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.