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Finding the Fourth Proportional to 137,956.84, 190,381.71 and 83,510.26

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Solution

The fourth proportional to 137,956.84, 190,381.71 and 83,510.26 is: 115,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956.84 : 190,381.71 = 83,510.26 : x
  2. Step 2: Convert to fraction form
    137,956.84/190,381.71 = 83,510.26/x
  3. Step 3: Cross multiply
    137,956.84x = 190,381.71 × 83,510.26
  4. Step 4: Simplify right side
    137,956.84x = 15,898,826,101.34
  5. Step 5: Solve for x
    x = 15,898,826,101.34/137,956.84
  6. Step 6: Final answer
    x = 115,244.93

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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.