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Finding the Fourth Proportional to 153,023.45, 211,202.60 and 97,797.45

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Solution

The fourth proportional to 153,023.45, 211,202.60 and 97,797.45 is: 134,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.45 : 211,202.60 = 97,797.45 : x
  2. Step 2: Convert to fraction form
    153,023.45/211,202.60 = 97,797.45/x
  3. Step 3: Cross multiply
    153,023.45x = 211,202.60 × 97,797.45
  4. Step 4: Simplify right side
    153,023.45x = 20,655,075,224.38
  5. Step 5: Solve for x
    x = 20,655,075,224.38/153,023.45
  6. Step 6: Final answer
    x = 134,979.80

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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.