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Finding the Fourth Proportional to 212,263.46, 292,896.89 and 143,502.45

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Solution

The fourth proportional to 212,263.46, 292,896.89 and 143,502.45 is: 198,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,263.46 : 292,896.89 = 143,502.45 : x
  2. Step 2: Convert to fraction form
    212,263.46/292,896.89 = 143,502.45/x
  3. Step 3: Cross multiply
    212,263.46x = 292,896.89 × 143,502.45
  4. Step 4: Simplify right side
    212,263.46x = 42,031,421,312.38
  5. Step 5: Solve for x
    x = 42,031,421,312.38/212,263.46
  6. Step 6: Final answer
    x = 198,015.34

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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.