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Finding the Fourth Proportional to 242,347.52, 363,477.44 and 73,827.52

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Solution

The fourth proportional to 242,347.52, 363,477.44 and 73,827.52 is: 110,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,347.52 : 363,477.44 = 73,827.52 : x
  2. Step 2: Convert to fraction form
    242,347.52/363,477.44 = 73,827.52/x
  3. Step 3: Cross multiply
    242,347.52x = 363,477.44 × 73,827.52
  4. Step 4: Simplify right side
    242,347.52x = 26,834,637,971.15
  5. Step 5: Solve for x
    x = 26,834,637,971.15/242,347.52
  6. Step 6: Final answer
    x = 110,727.92

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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.