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Finding the Fourth Proportional to 253,875.17, 380,803.49 and 102,119.24

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Solution

The fourth proportional to 253,875.17, 380,803.49 and 102,119.24 is: 153,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,875.17 : 380,803.49 = 102,119.24 : x
  2. Step 2: Convert to fraction form
    253,875.17/380,803.49 = 102,119.24/x
  3. Step 3: Cross multiply
    253,875.17x = 380,803.49 × 102,119.24
  4. Step 4: Simplify right side
    253,875.17x = 38,887,360,573.53
  5. Step 5: Solve for x
    x = 38,887,360,573.53/253,875.17
  6. Step 6: Final answer
    x = 153,175.13

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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.