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Finding the Fourth Proportional to 259,656.84, 358,325.11 and 144,928.86

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Solution

The fourth proportional to 259,656.84, 358,325.11 and 144,928.86 is: 200,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,656.84 : 358,325.11 = 144,928.86 : x
  2. Step 2: Convert to fraction form
    259,656.84/358,325.11 = 144,928.86/x
  3. Step 3: Cross multiply
    259,656.84x = 358,325.11 × 144,928.86
  4. Step 4: Simplify right side
    259,656.84x = 51,931,649,701.67
  5. Step 5: Solve for x
    x = 51,931,649,701.67/259,656.84
  6. Step 6: Final answer
    x = 200,001.08

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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.