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Finding the Fourth Proportional to 145,633.13, 201,035.91 and 97,914.16

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Solution

The fourth proportional to 145,633.13, 201,035.91 and 97,914.16 is: 135,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,633.13 : 201,035.91 = 97,914.16 : x
  2. Step 2: Convert to fraction form
    145,633.13/201,035.91 = 97,914.16/x
  3. Step 3: Cross multiply
    145,633.13x = 201,035.91 × 97,914.16
  4. Step 4: Simplify right side
    145,633.13x = 19,684,261,252.31
  5. Step 5: Solve for x
    x = 19,684,261,252.31/145,633.13
  6. Step 6: Final answer
    x = 135,163.35

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Why These Related Problems?

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