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Finding the Fourth Proportional to 256,806.58, 354,402.76 and 140,527.86

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Solution

The fourth proportional to 256,806.58, 354,402.76 and 140,527.86 is: 193,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,806.58 : 354,402.76 = 140,527.86 : x
  2. Step 2: Convert to fraction form
    256,806.58/354,402.76 = 140,527.86/x
  3. Step 3: Cross multiply
    256,806.58x = 354,402.76 × 140,527.86
  4. Step 4: Simplify right side
    256,806.58x = 49,803,461,440.89
  5. Step 5: Solve for x
    x = 49,803,461,440.89/256,806.58
  6. Step 6: Final answer
    x = 193,933.74

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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.