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Finding the Fourth Proportional to 256,085.46, 353,421.45 and 141,384.60

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Solution

The fourth proportional to 256,085.46, 353,421.45 and 141,384.60 is: 195,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.46 : 353,421.45 = 141,384.60 : x
  2. Step 2: Convert to fraction form
    256,085.46/353,421.45 = 141,384.60/x
  3. Step 3: Cross multiply
    256,085.46x = 353,421.45 × 141,384.60
  4. Step 4: Simplify right side
    256,085.46x = 49,968,350,339.67
  5. Step 5: Solve for x
    x = 49,968,350,339.67/256,085.46
  6. Step 6: Final answer
    x = 195,123.73

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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.