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Finding the Fourth Proportional to 191,954.34, 287,931.51 and 98,400.42

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Solution

The fourth proportional to 191,954.34, 287,931.51 and 98,400.42 is: 147,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,954.34 : 287,931.51 = 98,400.42 : x
  2. Step 2: Convert to fraction form
    191,954.34/287,931.51 = 98,400.42/x
  3. Step 3: Cross multiply
    191,954.34x = 287,931.51 × 98,400.42
  4. Step 4: Simplify right side
    191,954.34x = 28,332,581,515.23
  5. Step 5: Solve for x
    x = 28,332,581,515.23/191,954.34
  6. Step 6: Final answer
    x = 147,600.63

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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.