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Finding the Fourth Proportional to 145,978.62, 201,450.64 and 85,537.22

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Solution

The fourth proportional to 145,978.62, 201,450.64 and 85,537.22 is: 118,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.62 : 201,450.64 = 85,537.22 : x
  2. Step 2: Convert to fraction form
    145,978.62/201,450.64 = 85,537.22/x
  3. Step 3: Cross multiply
    145,978.62x = 201,450.64 × 85,537.22
  4. Step 4: Simplify right side
    145,978.62x = 17,231,527,712.82
  5. Step 5: Solve for x
    x = 17,231,527,712.82/145,978.62
  6. Step 6: Final answer
    x = 118,041.45

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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.