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Finding the Fourth Proportional to 153,506.80, 230,291.64 and 64,760.56

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Solution

The fourth proportional to 153,506.80, 230,291.64 and 64,760.56 is: 97,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,506.80 : 230,291.64 = 64,760.56 : x
  2. Step 2: Convert to fraction form
    153,506.80/230,291.64 = 64,760.56/x
  3. Step 3: Cross multiply
    153,506.80x = 230,291.64 × 64,760.56
  4. Step 4: Simplify right side
    153,506.80x = 14,913,815,569.72
  5. Step 5: Solve for x
    x = 14,913,815,569.72/153,506.80
  6. Step 6: Final answer
    x = 97,154.10

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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.