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Finding the Fourth Proportional to 296,641.65, 444,962.19 and 119,148.69

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Solution

The fourth proportional to 296,641.65, 444,962.19 and 119,148.69 is: 178,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,641.65 : 444,962.19 = 119,148.69 : x
  2. Step 2: Convert to fraction form
    296,641.65/444,962.19 = 119,148.69/x
  3. Step 3: Cross multiply
    296,641.65x = 444,962.19 × 119,148.69
  4. Step 4: Simplify right side
    296,641.65x = 53,016,662,038.03
  5. Step 5: Solve for x
    x = 53,016,662,038.03/296,641.65
  6. Step 6: Final answer
    x = 178,722.92

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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.