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Finding the Fourth Proportional to 242,049.24, 363,024.72 and 152,051.76

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Solution

The fourth proportional to 242,049.24, 363,024.72 and 152,051.76 is: 228,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,049.24 : 363,024.72 = 152,051.76 : x
  2. Step 2: Convert to fraction form
    242,049.24/363,024.72 = 152,051.76/x
  3. Step 3: Cross multiply
    242,049.24x = 363,024.72 × 152,051.76
  4. Step 4: Simplify right side
    242,049.24x = 55,198,547,599.51
  5. Step 5: Solve for x
    x = 55,198,547,599.51/242,049.24
  6. Step 6: Final answer
    x = 228,046.77

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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.