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Finding the Fourth Proportional to 256,030.92, 353,266.11 and 148,538.70

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Solution

The fourth proportional to 256,030.92, 353,266.11 and 148,538.70 is: 204,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,030.92 : 353,266.11 = 148,538.70 : x
  2. Step 2: Convert to fraction form
    256,030.92/353,266.11 = 148,538.70/x
  3. Step 3: Cross multiply
    256,030.92x = 353,266.11 × 148,538.70
  4. Step 4: Simplify right side
    256,030.92x = 52,473,688,733.46
  5. Step 5: Solve for x
    x = 52,473,688,733.46/256,030.92
  6. Step 6: Final answer
    x = 204,950.59

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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.