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Finding the Fourth Proportional to 197,875.65, 296,809.31 and 48,116.71

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Solution

The fourth proportional to 197,875.65, 296,809.31 and 48,116.71 is: 72,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,875.65 : 296,809.31 = 48,116.71 : x
  2. Step 2: Convert to fraction form
    197,875.65/296,809.31 = 48,116.71/x
  3. Step 3: Cross multiply
    197,875.65x = 296,809.31 × 48,116.71
  4. Step 4: Simplify right side
    197,875.65x = 14,281,487,253.99
  5. Step 5: Solve for x
    x = 14,281,487,253.99/197,875.65
  6. Step 6: Final answer
    x = 72,174.05

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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.