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Finding the Fourth Proportional to 364,207.20, 546,116.40 and 153,607.20

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Solution

The fourth proportional to 364,207.20, 546,116.40 and 153,607.20 is: 230,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,207.20 : 546,116.40 = 153,607.20 : x
  2. Step 2: Convert to fraction form
    364,207.20/546,116.40 = 153,607.20/x
  3. Step 3: Cross multiply
    364,207.20x = 546,116.40 × 153,607.20
  4. Step 4: Simplify right side
    364,207.20x = 83,887,411,078.08
  5. Step 5: Solve for x
    x = 83,887,411,078.08/364,207.20
  6. Step 6: Final answer
    x = 230,328.81

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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.