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Finding the Fourth Proportional to 256,000.68, 353,289.42 and 139,720.50

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Solution

The fourth proportional to 256,000.68, 353,289.42 and 139,720.50 is: 192,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.68 : 353,289.42 = 139,720.50 : x
  2. Step 2: Convert to fraction form
    256,000.68/353,289.42 = 139,720.50/x
  3. Step 3: Cross multiply
    256,000.68x = 353,289.42 × 139,720.50
  4. Step 4: Simplify right side
    256,000.68x = 49,361,774,407.11
  5. Step 5: Solve for x
    x = 49,361,774,407.11/256,000.68
  6. Step 6: Final answer
    x = 192,818.92

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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.