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Finding the Fourth Proportional to 135,477.86, 186,957.00 and 75,048.32

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Solution

The fourth proportional to 135,477.86, 186,957.00 and 75,048.32 is: 103,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.86 : 186,957.00 = 75,048.32 : x
  2. Step 2: Convert to fraction form
    135,477.86/186,957.00 = 75,048.32/x
  3. Step 3: Cross multiply
    135,477.86x = 186,957.00 × 75,048.32
  4. Step 4: Simplify right side
    135,477.86x = 14,030,807,452.21
  5. Step 5: Solve for x
    x = 14,030,807,452.21/135,477.86
  6. Step 6: Final answer
    x = 103,565.32

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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.