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Finding the Fourth Proportional to 296,095.70, 443,851.95 and 146,359.10

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Solution

The fourth proportional to 296,095.70, 443,851.95 and 146,359.10 is: 219,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,095.70 : 443,851.95 = 146,359.10 : x
  2. Step 2: Convert to fraction form
    296,095.70/443,851.95 = 146,359.10/x
  3. Step 3: Cross multiply
    296,095.70x = 443,851.95 × 146,359.10
  4. Step 4: Simplify right side
    296,095.70x = 64,961,771,935.25
  5. Step 5: Solve for x
    x = 64,961,771,935.25/296,095.70
  6. Step 6: Final answer
    x = 219,394.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.