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Finding the Fourth Proportional to 208,123.80, 312,293.70 and 97,315.80

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Solution

The fourth proportional to 208,123.80, 312,293.70 and 97,315.80 is: 146,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123.80 : 312,293.70 = 97,315.80 : x
  2. Step 2: Convert to fraction form
    208,123.80/312,293.70 = 97,315.80/x
  3. Step 3: Cross multiply
    208,123.80x = 312,293.70 × 97,315.80
  4. Step 4: Simplify right side
    208,123.80x = 30,391,111,250.46
  5. Step 5: Solve for x
    x = 30,391,111,250.46/208,123.80
  6. Step 6: Final answer
    x = 146,024.20

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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.