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Finding the Fourth Proportional to 145,772.30, 201,097.04 and 85,305.87

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Solution

The fourth proportional to 145,772.30, 201,097.04 and 85,305.87 is: 117,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,772.30 : 201,097.04 = 85,305.87 : x
  2. Step 2: Convert to fraction form
    145,772.30/201,097.04 = 85,305.87/x
  3. Step 3: Cross multiply
    145,772.30x = 201,097.04 × 85,305.87
  4. Step 4: Simplify right side
    145,772.30x = 17,154,757,525.10
  5. Step 5: Solve for x
    x = 17,154,757,525.10/145,772.30
  6. Step 6: Final answer
    x = 117,681.88

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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.