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Finding the Fourth Proportional to 185,866.76, 256,508.80 and 105,294.94

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Solution

The fourth proportional to 185,866.76, 256,508.80 and 105,294.94 is: 145,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,866.76 : 256,508.80 = 105,294.94 : x
  2. Step 2: Convert to fraction form
    185,866.76/256,508.80 = 105,294.94/x
  3. Step 3: Cross multiply
    185,866.76x = 256,508.80 × 105,294.94
  4. Step 4: Simplify right side
    185,866.76x = 27,009,078,705.47
  5. Step 5: Solve for x
    x = 27,009,078,705.47/185,866.76
  6. Step 6: Final answer
    x = 145,314.20

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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.