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Finding the Fourth Proportional to 180,410.65, 248,802.19 and 154,909.01

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Solution

The fourth proportional to 180,410.65, 248,802.19 and 154,909.01 is: 213,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,410.65 : 248,802.19 = 154,909.01 : x
  2. Step 2: Convert to fraction form
    180,410.65/248,802.19 = 154,909.01/x
  3. Step 3: Cross multiply
    180,410.65x = 248,802.19 × 154,909.01
  4. Step 4: Simplify right side
    180,410.65x = 38,541,701,173.46
  5. Step 5: Solve for x
    x = 38,541,701,173.46/180,410.65
  6. Step 6: Final answer
    x = 213,633.18

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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.