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Finding the Fourth Proportional to 233,638.93, 322,421.40 and 126,208.93

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Solution

The fourth proportional to 233,638.93, 322,421.40 and 126,208.93 is: 174,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,638.93 : 322,421.40 = 126,208.93 : x
  2. Step 2: Convert to fraction form
    233,638.93/322,421.40 = 126,208.93/x
  3. Step 3: Cross multiply
    233,638.93x = 322,421.40 × 126,208.93
  4. Step 4: Simplify right side
    233,638.93x = 40,692,459,903.10
  5. Step 5: Solve for x
    x = 40,692,459,903.10/233,638.93
  6. Step 6: Final answer
    x = 174,168.15

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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.