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Finding the Fourth Proportional to 137,225.60, 205,838.40 and 48,579.20

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Solution

The fourth proportional to 137,225.60, 205,838.40 and 48,579.20 is: 72,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,225.60 : 205,838.40 = 48,579.20 : x
  2. Step 2: Convert to fraction form
    137,225.60/205,838.40 = 48,579.20/x
  3. Step 3: Cross multiply
    137,225.60x = 205,838.40 × 48,579.20
  4. Step 4: Simplify right side
    137,225.60x = 9,999,464,801.28
  5. Step 5: Solve for x
    x = 9,999,464,801.28/137,225.60
  6. Step 6: Final answer
    x = 72,868.80

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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.