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Finding the Fourth Proportional to 259,875.75, 358,628.55 and 140,643.75

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Solution

The fourth proportional to 259,875.75, 358,628.55 and 140,643.75 is: 194,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,875.75 : 358,628.55 = 140,643.75 : x
  2. Step 2: Convert to fraction form
    259,875.75/358,628.55 = 140,643.75/x
  3. Step 3: Cross multiply
    259,875.75x = 358,628.55 × 140,643.75
  4. Step 4: Simplify right side
    259,875.75x = 50,438,864,129.06
  5. Step 5: Solve for x
    x = 50,438,864,129.06/259,875.75
  6. Step 6: Final answer
    x = 194,088.38

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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.