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Finding the Fourth Proportional to 149,648.54, 224,482.71 and 49,804.70

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Solution

The fourth proportional to 149,648.54, 224,482.71 and 49,804.70 is: 74,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,648.54 : 224,482.71 = 49,804.70 : x
  2. Step 2: Convert to fraction form
    149,648.54/224,482.71 = 49,804.70/x
  3. Step 3: Cross multiply
    149,648.54x = 224,482.71 × 49,804.70
  4. Step 4: Simplify right side
    149,648.54x = 11,180,294,026.74
  5. Step 5: Solve for x
    x = 11,180,294,026.74/149,648.54
  6. Step 6: Final answer
    x = 74,710.34

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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.