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Finding the Fourth Proportional to 264,732, 365,321.92 and 151,547.20

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Solution

The fourth proportional to 264,732, 365,321.92 and 151,547.20 is: 209,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,732 : 365,321.92 = 151,547.20 : x
  2. Step 2: Convert to fraction form
    264,732/365,321.92 = 151,547.20/x
  3. Step 3: Cross multiply
    264,732x = 365,321.92 × 151,547.20
  4. Step 4: Simplify right side
    264,732x = 55,363,514,074.62
  5. Step 5: Solve for x
    x = 55,363,514,074.62/264,732
  6. Step 6: Final answer
    x = 209,130.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.