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Finding the Fourth Proportional to 153,643.20, 230,464.80 and 102,904.80

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Solution

The fourth proportional to 153,643.20, 230,464.80 and 102,904.80 is: 154,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,643.20 : 230,464.80 = 102,904.80 : x
  2. Step 2: Convert to fraction form
    153,643.20/230,464.80 = 102,904.80/x
  3. Step 3: Cross multiply
    153,643.20x = 230,464.80 × 102,904.80
  4. Step 4: Simplify right side
    153,643.20x = 23,715,934,151.04
  5. Step 5: Solve for x
    x = 23,715,934,151.04/153,643.20
  6. Step 6: Final answer
    x = 154,357.20

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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.