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Finding the Fourth Proportional to 99,384.93, 137,196 and 65,411.25

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Solution

The fourth proportional to 99,384.93, 137,196 and 65,411.25 is: 90,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,384.93 : 137,196 = 65,411.25 : x
  2. Step 2: Convert to fraction form
    99,384.93/137,196 = 65,411.25/x
  3. Step 3: Cross multiply
    99,384.93x = 137,196 × 65,411.25
  4. Step 4: Simplify right side
    99,384.93x = 8,974,161,855
  5. Step 5: Solve for x
    x = 8,974,161,855/99,384.93
  6. Step 6: Final answer
    x = 90,297.01

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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.