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Finding the Fourth Proportional to 259,402.50, 357,975.45 and 146,225.25

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Solution

The fourth proportional to 259,402.50, 357,975.45 and 146,225.25 is: 201,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402.50 : 357,975.45 = 146,225.25 : x
  2. Step 2: Convert to fraction form
    259,402.50/357,975.45 = 146,225.25/x
  3. Step 3: Cross multiply
    259,402.50x = 357,975.45 × 146,225.25
  4. Step 4: Simplify right side
    259,402.50x = 52,345,049,670.11
  5. Step 5: Solve for x
    x = 52,345,049,670.11/259,402.50
  6. Step 6: Final answer
    x = 201,790.85

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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.