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Finding the Fourth Proportional to 102,263.81, 153,432.63 and 35,713.76

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Solution

The fourth proportional to 102,263.81, 153,432.63 and 35,713.76 is: 53,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,263.81 : 153,432.63 = 35,713.76 : x
  2. Step 2: Convert to fraction form
    102,263.81/153,432.63 = 35,713.76/x
  3. Step 3: Cross multiply
    102,263.81x = 153,432.63 × 35,713.76
  4. Step 4: Simplify right side
    102,263.81x = 5,479,656,123.99
  5. Step 5: Solve for x
    x = 5,479,656,123.99/102,263.81
  6. Step 6: Final answer
    x = 53,583.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.