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Finding the Fourth Proportional to 242,534.30, 363,801.45 and 76,322.30

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Solution

The fourth proportional to 242,534.30, 363,801.45 and 76,322.30 is: 114,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,534.30 : 363,801.45 = 76,322.30 : x
  2. Step 2: Convert to fraction form
    242,534.30/363,801.45 = 76,322.30/x
  3. Step 3: Cross multiply
    242,534.30x = 363,801.45 × 76,322.30
  4. Step 4: Simplify right side
    242,534.30x = 27,766,163,407.34
  5. Step 5: Solve for x
    x = 27,766,163,407.34/242,534.30
  6. Step 6: Final answer
    x = 114,483.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.