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Finding the Fourth Proportional to 233,851.66, 322,714.33 and 126,421.66

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Solution

The fourth proportional to 233,851.66, 322,714.33 and 126,421.66 is: 174,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,851.66 : 322,714.33 = 126,421.66 : x
  2. Step 2: Convert to fraction form
    233,851.66/322,714.33 = 126,421.66/x
  3. Step 3: Cross multiply
    233,851.66x = 322,714.33 × 126,421.66
  4. Step 4: Simplify right side
    233,851.66x = 40,798,081,391.73
  5. Step 5: Solve for x
    x = 40,798,081,391.73/233,851.66
  6. Step 6: Final answer
    x = 174,461.37

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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.