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Finding the Fourth Proportional to 123,465.18, 185,200.50 and 85,477.02

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Solution

The fourth proportional to 123,465.18, 185,200.50 and 85,477.02 is: 128,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,465.18 : 185,200.50 = 85,477.02 : x
  2. Step 2: Convert to fraction form
    123,465.18/185,200.50 = 85,477.02/x
  3. Step 3: Cross multiply
    123,465.18x = 185,200.50 × 85,477.02
  4. Step 4: Simplify right side
    123,465.18x = 15,830,386,842.51
  5. Step 5: Solve for x
    x = 15,830,386,842.51/123,465.18
  6. Step 6: Final answer
    x = 128,217.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.