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Finding the Fourth Proportional to 153,778.51, 212,219.58 and 89,242.78

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Solution

The fourth proportional to 153,778.51, 212,219.58 and 89,242.78 is: 123,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,778.51 : 212,219.58 = 89,242.78 : x
  2. Step 2: Convert to fraction form
    153,778.51/212,219.58 = 89,242.78/x
  3. Step 3: Cross multiply
    153,778.51x = 212,219.58 × 89,242.78
  4. Step 4: Simplify right side
    153,778.51x = 18,939,065,289.63
  5. Step 5: Solve for x
    x = 18,939,065,289.63/153,778.51
  6. Step 6: Final answer
    x = 123,158.08

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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.