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Finding the Fourth Proportional to 153,677.83, 230,461.33 and 64,938.21

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Solution

The fourth proportional to 153,677.83, 230,461.33 and 64,938.21 is: 97,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,677.83 : 230,461.33 = 64,938.21 : x
  2. Step 2: Convert to fraction form
    153,677.83/230,461.33 = 64,938.21/x
  3. Step 3: Cross multiply
    153,677.83x = 230,461.33 × 64,938.21
  4. Step 4: Simplify right side
    153,677.83x = 14,965,746,244.42
  5. Step 5: Solve for x
    x = 14,965,746,244.42/153,677.83
  6. Step 6: Final answer
    x = 97,383.90

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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.