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Finding the Fourth Proportional to 216,005.74, 323,971.25 and 97,649.55

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Solution

The fourth proportional to 216,005.74, 323,971.25 and 97,649.55 is: 146,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,005.74 : 323,971.25 = 97,649.55 : x
  2. Step 2: Convert to fraction form
    216,005.74/323,971.25 = 97,649.55/x
  3. Step 3: Cross multiply
    216,005.74x = 323,971.25 × 97,649.55
  4. Step 4: Simplify right side
    216,005.74x = 31,635,646,287.19
  5. Step 5: Solve for x
    x = 31,635,646,287.19/216,005.74
  6. Step 6: Final answer
    x = 146,457.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.