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Finding the Fourth Proportional to 145,613.54, 201,008.68 and 97,894.56

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Solution

The fourth proportional to 145,613.54, 201,008.68 and 97,894.56 is: 135,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,613.54 : 201,008.68 = 97,894.56 : x
  2. Step 2: Convert to fraction form
    145,613.54/201,008.68 = 97,894.56/x
  3. Step 3: Cross multiply
    145,613.54x = 201,008.68 × 97,894.56
  4. Step 4: Simplify right side
    145,613.54x = 19,677,656,284.78
  5. Step 5: Solve for x
    x = 19,677,656,284.78/145,613.54
  6. Step 6: Final answer
    x = 135,136.17

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1.5x scale

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.