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Finding the Fourth Proportional to 242,203.72, 362,973.43 and 153,298.53

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Solution

The fourth proportional to 242,203.72, 362,973.43 and 153,298.53 is: 229,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,203.72 : 362,973.43 = 153,298.53 : x
  2. Step 2: Convert to fraction form
    242,203.72/362,973.43 = 153,298.53/x
  3. Step 3: Cross multiply
    242,203.72x = 362,973.43 × 153,298.53
  4. Step 4: Simplify right side
    242,203.72x = 55,643,292,078.53
  5. Step 5: Solve for x
    x = 55,643,292,078.53/242,203.72
  6. Step 6: Final answer
    x = 229,737.56

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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.