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Finding the Fourth Proportional to 288,295.19, 432,597.93 and 119,931.73

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Solution

The fourth proportional to 288,295.19, 432,597.93 and 119,931.73 is: 179,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,295.19 : 432,597.93 = 119,931.73 : x
  2. Step 2: Convert to fraction form
    288,295.19/432,597.93 = 119,931.73/x
  3. Step 3: Cross multiply
    288,295.19x = 432,597.93 × 119,931.73
  4. Step 4: Simplify right side
    288,295.19x = 51,882,217,057.82
  5. Step 5: Solve for x
    x = 51,882,217,057.82/288,295.19
  6. Step 6: Final answer
    x = 179,962.13

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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.