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Finding the Fourth Proportional to 310,981.68, 466,471.98 and 97,768.23

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Solution

The fourth proportional to 310,981.68, 466,471.98 and 97,768.23 is: 146,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,981.68 : 466,471.98 = 97,768.23 : x
  2. Step 2: Convert to fraction form
    310,981.68/466,471.98 = 97,768.23/x
  3. Step 3: Cross multiply
    310,981.68x = 466,471.98 × 97,768.23
  4. Step 4: Simplify right side
    310,981.68x = 45,606,139,829.20
  5. Step 5: Solve for x
    x = 45,606,139,829.20/310,981.68
  6. Step 6: Final answer
    x = 146,652.18

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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.