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Finding the Fourth Proportional to 292,024.70, 438,037.05 and 105,050.78

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Solution

The fourth proportional to 292,024.70, 438,037.05 and 105,050.78 is: 157,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,024.70 : 438,037.05 = 105,050.78 : x
  2. Step 2: Convert to fraction form
    292,024.70/438,037.05 = 105,050.78/x
  3. Step 3: Cross multiply
    292,024.70x = 438,037.05 × 105,050.78
  4. Step 4: Simplify right side
    292,024.70x = 46,016,133,771.40
  5. Step 5: Solve for x
    x = 46,016,133,771.40/292,024.70
  6. Step 6: Final answer
    x = 157,576.17

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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.