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Finding the Fourth Proportional to 233,638.16, 322,420.77 and 126,208.16

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Solution

The fourth proportional to 233,638.16, 322,420.77 and 126,208.16 is: 174,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,638.16 : 322,420.77 = 126,208.16 : x
  2. Step 2: Convert to fraction form
    233,638.16/322,420.77 = 126,208.16/x
  3. Step 3: Cross multiply
    233,638.16x = 322,420.77 × 126,208.16
  4. Step 4: Simplify right side
    233,638.16x = 40,692,132,127.48
  5. Step 5: Solve for x
    x = 40,692,132,127.48/233,638.16
  6. Step 6: Final answer
    x = 174,167.32

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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.