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Finding the Fourth Proportional to 177,681.56, 245,200.14 and 101,200.64

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Solution

The fourth proportional to 177,681.56, 245,200.14 and 101,200.64 is: 139,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,681.56 : 245,200.14 = 101,200.64 : x
  2. Step 2: Convert to fraction form
    177,681.56/245,200.14 = 101,200.64/x
  3. Step 3: Cross multiply
    177,681.56x = 245,200.14 × 101,200.64
  4. Step 4: Simplify right side
    177,681.56x = 24,814,409,870.09
  5. Step 5: Solve for x
    x = 24,814,409,870.09/177,681.56
  6. Step 6: Final answer
    x = 139,656.65

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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.