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Finding the Fourth Proportional to 145,645.98, 200,695.77 and 111,655.14

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Solution

The fourth proportional to 145,645.98, 200,695.77 and 111,655.14 is: 153,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,645.98 : 200,695.77 = 111,655.14 : x
  2. Step 2: Convert to fraction form
    145,645.98/200,695.77 = 111,655.14/x
  3. Step 3: Cross multiply
    145,645.98x = 200,695.77 × 111,655.14
  4. Step 4: Simplify right side
    145,645.98x = 22,408,714,296.76
  5. Step 5: Solve for x
    x = 22,408,714,296.76/145,645.98
  6. Step 6: Final answer
    x = 153,857.42

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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.