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Finding the Fourth Proportional to 145,980, 218,984.04 and 67,116.24

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Solution

The fourth proportional to 145,980, 218,984.04 and 67,116.24 is: 100,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980 : 218,984.04 = 67,116.24 : x
  2. Step 2: Convert to fraction form
    145,980/218,984.04 = 67,116.24/x
  3. Step 3: Cross multiply
    145,980x = 218,984.04 × 67,116.24
  4. Step 4: Simplify right side
    145,980x = 14,697,385,384.81
  5. Step 5: Solve for x
    x = 14,697,385,384.81/145,980
  6. Step 6: Final answer
    x = 100,680.82

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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.