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Finding the Fourth Proportional to 205,040.30, 307,560.45 and 152,552.30

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Solution

The fourth proportional to 205,040.30, 307,560.45 and 152,552.30 is: 228,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,040.30 : 307,560.45 = 152,552.30 : x
  2. Step 2: Convert to fraction form
    205,040.30/307,560.45 = 152,552.30/x
  3. Step 3: Cross multiply
    205,040.30x = 307,560.45 × 152,552.30
  4. Step 4: Simplify right side
    205,040.30x = 46,919,054,036.54
  5. Step 5: Solve for x
    x = 46,919,054,036.54/205,040.30
  6. Step 6: Final answer
    x = 228,828.45

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1.5x scale

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.