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Finding the Fourth Proportional to 261,642.59, 361,070.55 and 146,946.05

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Solution

The fourth proportional to 261,642.59, 361,070.55 and 146,946.05 is: 202,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,642.59 : 361,070.55 = 146,946.05 : x
  2. Step 2: Convert to fraction form
    261,642.59/361,070.55 = 146,946.05/x
  3. Step 3: Cross multiply
    261,642.59x = 361,070.55 × 146,946.05
  4. Step 4: Simplify right side
    261,642.59x = 53,057,891,093.83
  5. Step 5: Solve for x
    x = 53,057,891,093.83/261,642.59
  6. Step 6: Final answer
    x = 202,787.67

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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.