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Finding the Fourth Proportional to 259,019.54, 357,441.54 and 144,298.04

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Solution

The fourth proportional to 259,019.54, 357,441.54 and 144,298.04 is: 199,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,019.54 : 357,441.54 = 144,298.04 : x
  2. Step 2: Convert to fraction form
    259,019.54/357,441.54 = 144,298.04/x
  3. Step 3: Cross multiply
    259,019.54x = 357,441.54 × 144,298.04
  4. Step 4: Simplify right side
    259,019.54x = 51,578,113,636.58
  5. Step 5: Solve for x
    x = 51,578,113,636.58/259,019.54
  6. Step 6: Final answer
    x = 199,128.27

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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.