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Finding the Fourth Proportional to 242,699.79, 363,763.76 and 109,424.01

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Solution

The fourth proportional to 242,699.79, 363,763.76 and 109,424.01 is: 164,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,699.79 : 363,763.76 = 109,424.01 : x
  2. Step 2: Convert to fraction form
    242,699.79/363,763.76 = 109,424.01/x
  3. Step 3: Cross multiply
    242,699.79x = 363,763.76 × 109,424.01
  4. Step 4: Simplify right side
    242,699.79x = 39,804,489,674.17
  5. Step 5: Solve for x
    x = 39,804,489,674.17/242,699.79
  6. Step 6: Final answer
    x = 164,007.10

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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.