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Finding the Fourth Proportional to 136,208.40, 187,966.98 and 75,784.86

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Solution

The fourth proportional to 136,208.40, 187,966.98 and 75,784.86 is: 104,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,208.40 : 187,966.98 = 75,784.86 : x
  2. Step 2: Convert to fraction form
    136,208.40/187,966.98 = 75,784.86/x
  3. Step 3: Cross multiply
    136,208.40x = 187,966.98 × 75,784.86
  4. Step 4: Simplify right side
    136,208.40x = 14,245,051,263.92
  5. Step 5: Solve for x
    x = 14,245,051,263.92/136,208.40
  6. Step 6: Final answer
    x = 104,582.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.