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Finding the Fourth Proportional to 145,795.97, 218,712.50 and 57,038.10

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Solution

The fourth proportional to 145,795.97, 218,712.50 and 57,038.10 is: 85,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,795.97 : 218,712.50 = 57,038.10 : x
  2. Step 2: Convert to fraction form
    145,795.97/218,712.50 = 57,038.10/x
  3. Step 3: Cross multiply
    145,795.97x = 218,712.50 × 57,038.10
  4. Step 4: Simplify right side
    145,795.97x = 12,474,945,161.06
  5. Step 5: Solve for x
    x = 12,474,945,161.06/145,795.97
  6. Step 6: Final answer
    x = 85,564.41

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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.