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Finding the Fourth Proportional to 255,062.80, 382,579.44 and 97,307.20

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Solution

The fourth proportional to 255,062.80, 382,579.44 and 97,307.20 is: 145,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,062.80 : 382,579.44 = 97,307.20 : x
  2. Step 2: Convert to fraction form
    255,062.80/382,579.44 = 97,307.20/x
  3. Step 3: Cross multiply
    255,062.80x = 382,579.44 × 97,307.20
  4. Step 4: Simplify right side
    255,062.80x = 37,227,734,083.97
  5. Step 5: Solve for x
    x = 37,227,734,083.97/255,062.80
  6. Step 6: Final answer
    x = 145,955.17

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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.