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Finding the Fourth Proportional to 305,027.50, 457,541.26 and 83,411.50

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Solution

The fourth proportional to 305,027.50, 457,541.26 and 83,411.50 is: 125,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,027.50 : 457,541.26 = 83,411.50 : x
  2. Step 2: Convert to fraction form
    305,027.50/457,541.26 = 83,411.50/x
  3. Step 3: Cross multiply
    305,027.50x = 457,541.26 × 83,411.50
  4. Step 4: Simplify right side
    305,027.50x = 38,164,202,808.49
  5. Step 5: Solve for x
    x = 38,164,202,808.49/305,027.50
  6. Step 6: Final answer
    x = 125,117.25

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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.