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Finding the Fourth Proportional to 292,043.34, 438,065.01 and 114,633.90

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Solution

The fourth proportional to 292,043.34, 438,065.01 and 114,633.90 is: 171,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,043.34 : 438,065.01 = 114,633.90 : x
  2. Step 2: Convert to fraction form
    292,043.34/438,065.01 = 114,633.90/x
  3. Step 3: Cross multiply
    292,043.34x = 438,065.01 × 114,633.90
  4. Step 4: Simplify right side
    292,043.34x = 50,217,100,549.84
  5. Step 5: Solve for x
    x = 50,217,100,549.84/292,043.34
  6. Step 6: Final answer
    x = 171,950.85

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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.