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Finding the Fourth Proportional to 364,059.20, 545,894.40 and 153,459.20

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Solution

The fourth proportional to 364,059.20, 545,894.40 and 153,459.20 is: 230,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,059.20 : 545,894.40 = 153,459.20 : x
  2. Step 2: Convert to fraction form
    364,059.20/545,894.40 = 153,459.20/x
  3. Step 3: Cross multiply
    364,059.20x = 545,894.40 × 153,459.20
  4. Step 4: Simplify right side
    364,059.20x = 83,772,517,908.48
  5. Step 5: Solve for x
    x = 83,772,517,908.48/364,059.20
  6. Step 6: Final answer
    x = 230,106.86

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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.