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Finding the Fourth Proportional to 153,563.84, 230,200.16 and 53,659.10

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Solution

The fourth proportional to 153,563.84, 230,200.16 and 53,659.10 is: 80,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,563.84 : 230,200.16 = 53,659.10 : x
  2. Step 2: Convert to fraction form
    153,563.84/230,200.16 = 53,659.10/x
  3. Step 3: Cross multiply
    153,563.84x = 230,200.16 × 53,659.10
  4. Step 4: Simplify right side
    153,563.84x = 12,352,333,405.46
  5. Step 5: Solve for x
    x = 12,352,333,405.46/153,563.84
  6. Step 6: Final answer
    x = 80,437.77

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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.