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Finding the Fourth Proportional to 145,613.68, 201,008.86 and 97,894.69

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Solution

The fourth proportional to 145,613.68, 201,008.86 and 97,894.69 is: 135,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,613.68 : 201,008.86 = 97,894.69 : x
  2. Step 2: Convert to fraction form
    145,613.68/201,008.86 = 97,894.69/x
  3. Step 3: Cross multiply
    145,613.68x = 201,008.86 × 97,894.69
  4. Step 4: Simplify right side
    145,613.68x = 19,677,699,289.69
  5. Step 5: Solve for x
    x = 19,677,699,289.69/145,613.68
  6. Step 6: Final answer
    x = 135,136.34

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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.