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Finding the Fourth Proportional to 102,544, 141,510.72 and 55,440

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Solution

The fourth proportional to 102,544, 141,510.72 and 55,440 is: 76,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,544 : 141,510.72 = 55,440 : x
  2. Step 2: Convert to fraction form
    102,544/141,510.72 = 55,440/x
  3. Step 3: Cross multiply
    102,544x = 141,510.72 × 55,440
  4. Step 4: Simplify right side
    102,544x = 7,845,354,316.80
  5. Step 5: Solve for x
    x = 7,845,354,316.80/102,544
  6. Step 6: Final answer
    x = 76,507.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.