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Finding the Fourth Proportional to 267,838.70, 401,501.76 and 99,313.95

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Solution

The fourth proportional to 267,838.70, 401,501.76 and 99,313.95 is: 148,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,838.70 : 401,501.76 = 99,313.95 : x
  2. Step 2: Convert to fraction form
    267,838.70/401,501.76 = 99,313.95/x
  3. Step 3: Cross multiply
    267,838.70x = 401,501.76 × 99,313.95
  4. Step 4: Simplify right side
    267,838.70x = 39,874,725,150.95
  5. Step 5: Solve for x
    x = 39,874,725,150.95/267,838.70
  6. Step 6: Final answer
    x = 148,875.89

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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.