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Finding the Fourth Proportional to 145,829.56, 218,762.56 and 57,071.58

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Solution

The fourth proportional to 145,829.56, 218,762.56 and 57,071.58 is: 85,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,829.56 : 218,762.56 = 57,071.58 : x
  2. Step 2: Convert to fraction form
    145,829.56/218,762.56 = 57,071.58/x
  3. Step 3: Cross multiply
    145,829.56x = 218,762.56 × 57,071.58
  4. Step 4: Simplify right side
    145,829.56x = 12,485,124,944.04
  5. Step 5: Solve for x
    x = 12,485,124,944.04/145,829.56
  6. Step 6: Final answer
    x = 85,614.50

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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.