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Finding the Fourth Proportional to 259,888.50, 358,646.13 and 146,718.54

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Solution

The fourth proportional to 259,888.50, 358,646.13 and 146,718.54 is: 202,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,888.50 : 358,646.13 = 146,718.54 : x
  2. Step 2: Convert to fraction form
    259,888.50/358,646.13 = 146,718.54/x
  3. Step 3: Cross multiply
    259,888.50x = 358,646.13 × 146,718.54
  4. Step 4: Simplify right side
    259,888.50x = 52,620,036,570.25
  5. Step 5: Solve for x
    x = 52,620,036,570.25/259,888.50
  6. Step 6: Final answer
    x = 202,471.59

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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.