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Finding the Fourth Proportional to 133,210.48, 183,824.76 and 72,780.16

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Solution

The fourth proportional to 133,210.48, 183,824.76 and 72,780.16 is: 100,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,210.48 : 183,824.76 = 72,780.16 : x
  2. Step 2: Convert to fraction form
    133,210.48/183,824.76 = 72,780.16/x
  3. Step 3: Cross multiply
    133,210.48x = 183,824.76 × 72,780.16
  4. Step 4: Simplify right side
    133,210.48x = 13,378,795,444.76
  5. Step 5: Solve for x
    x = 13,378,795,444.76/133,210.48
  6. Step 6: Final answer
    x = 100,433.51

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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.