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Finding the Fourth Proportional to 145,636.95, 201,041.07 and 97,918.11

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Solution

The fourth proportional to 145,636.95, 201,041.07 and 97,918.11 is: 135,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,636.95 : 201,041.07 = 97,918.11 : x
  2. Step 2: Convert to fraction form
    145,636.95/201,041.07 = 97,918.11/x
  3. Step 3: Cross multiply
    145,636.95x = 201,041.07 × 97,918.11
  4. Step 4: Simplify right side
    145,636.95x = 19,685,561,606.78
  5. Step 5: Solve for x
    x = 19,685,561,606.78/145,636.95
  6. Step 6: Final answer
    x = 135,168.73

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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.