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Finding the Fourth Proportional to 259,573, 358,210.76 and 140,341

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Solution

The fourth proportional to 259,573, 358,210.76 and 140,341 is: 193,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,573 : 358,210.76 = 140,341 : x
  2. Step 2: Convert to fraction form
    259,573/358,210.76 = 140,341/x
  3. Step 3: Cross multiply
    259,573x = 358,210.76 × 140,341
  4. Step 4: Simplify right side
    259,573x = 50,271,656,269.16
  5. Step 5: Solve for x
    x = 50,271,656,269.16/259,573
  6. Step 6: Final answer
    x = 193,670.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.