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Finding the Fourth Proportional to 223,205.34, 334,820.52 and 71,415.66

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Solution

The fourth proportional to 223,205.34, 334,820.52 and 71,415.66 is: 107,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,205.34 : 334,820.52 = 71,415.66 : x
  2. Step 2: Convert to fraction form
    223,205.34/334,820.52 = 71,415.66/x
  3. Step 3: Cross multiply
    223,205.34x = 334,820.52 × 71,415.66
  4. Step 4: Simplify right side
    223,205.34x = 23,911,428,417.34
  5. Step 5: Solve for x
    x = 23,911,428,417.34/223,205.34
  6. Step 6: Final answer
    x = 107,127.49

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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.