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Finding the Fourth Proportional to 153,355.10, 230,043.45 and 86,827.10

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Solution

The fourth proportional to 153,355.10, 230,043.45 and 86,827.10 is: 130,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,355.10 : 230,043.45 = 86,827.10 : x
  2. Step 2: Convert to fraction form
    153,355.10/230,043.45 = 86,827.10/x
  3. Step 3: Cross multiply
    153,355.10x = 230,043.45 × 86,827.10
  4. Step 4: Simplify right side
    153,355.10x = 19,974,005,637.50
  5. Step 5: Solve for x
    x = 19,974,005,637.50/153,355.10
  6. Step 6: Final answer
    x = 130,246.76

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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.