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Finding the Fourth Proportional to 227,095.66, 340,643.40 and 120,457.54

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Solution

The fourth proportional to 227,095.66, 340,643.40 and 120,457.54 is: 180,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,095.66 : 340,643.40 = 120,457.54 : x
  2. Step 2: Convert to fraction form
    227,095.66/340,643.40 = 120,457.54/x
  3. Step 3: Cross multiply
    227,095.66x = 340,643.40 × 120,457.54
  4. Step 4: Simplify right side
    227,095.66x = 41,033,065,981.24
  5. Step 5: Solve for x
    x = 41,033,065,981.24/227,095.66
  6. Step 6: Final answer
    x = 180,686.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.