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Finding the Fourth Proportional to 243,925.20, 365,887.80 and 144,133.20

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Solution

The fourth proportional to 243,925.20, 365,887.80 and 144,133.20 is: 216,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,925.20 : 365,887.80 = 144,133.20 : x
  2. Step 2: Convert to fraction form
    243,925.20/365,887.80 = 144,133.20/x
  3. Step 3: Cross multiply
    243,925.20x = 365,887.80 × 144,133.20
  4. Step 4: Simplify right side
    243,925.20x = 52,736,579,454.96
  5. Step 5: Solve for x
    x = 52,736,579,454.96/243,925.20
  6. Step 6: Final answer
    x = 216,199.80

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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.