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Finding the Fourth Proportional to 305,801.70, 458,702.55 and 106,055.70

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Solution

The fourth proportional to 305,801.70, 458,702.55 and 106,055.70 is: 159,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,801.70 : 458,702.55 = 106,055.70 : x
  2. Step 2: Convert to fraction form
    305,801.70/458,702.55 = 106,055.70/x
  3. Step 3: Cross multiply
    305,801.70x = 458,702.55 × 106,055.70
  4. Step 4: Simplify right side
    305,801.70x = 48,648,020,032.04
  5. Step 5: Solve for x
    x = 48,648,020,032.04/305,801.70
  6. Step 6: Final answer
    x = 159,083.55

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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.