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Finding the Fourth Proportional to 256,854.58, 354,496.93 and 147,937.98

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Solution

The fourth proportional to 256,854.58, 354,496.93 and 147,937.98 is: 204,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,854.58 : 354,496.93 = 147,937.98 : x
  2. Step 2: Convert to fraction form
    256,854.58/354,496.93 = 147,937.98/x
  3. Step 3: Cross multiply
    256,854.58x = 354,496.93 × 147,937.98
  4. Step 4: Simplify right side
    256,854.58x = 52,443,559,886.95
  5. Step 5: Solve for x
    x = 52,443,559,886.95/256,854.58
  6. Step 6: Final answer
    x = 204,176.07

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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.