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Finding the Fourth Proportional to 160,595.94, 240,631.10 and 97,223.98

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Solution

The fourth proportional to 160,595.94, 240,631.10 and 97,223.98 is: 145,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,595.94 : 240,631.10 = 97,223.98 : x
  2. Step 2: Convert to fraction form
    160,595.94/240,631.10 = 97,223.98/x
  3. Step 3: Cross multiply
    160,595.94x = 240,631.10 × 97,223.98
  4. Step 4: Simplify right side
    160,595.94x = 23,395,113,253.78
  5. Step 5: Solve for x
    x = 23,395,113,253.78/160,595.94
  6. Step 6: Final answer
    x = 145,676.87

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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.