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Finding the Fourth Proportional to 134,838.48, 202,283.76 and 51,726

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Solution

The fourth proportional to 134,838.48, 202,283.76 and 51,726 is: 77,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,838.48 : 202,283.76 = 51,726 : x
  2. Step 2: Convert to fraction form
    134,838.48/202,283.76 = 51,726/x
  3. Step 3: Cross multiply
    134,838.48x = 202,283.76 × 51,726
  4. Step 4: Simplify right side
    134,838.48x = 10,463,329,769.76
  5. Step 5: Solve for x
    x = 10,463,329,769.76/134,838.48
  6. Step 6: Final answer
    x = 77,598.99

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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.