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Finding the Fourth Proportional to 114,303.66, 157,670.31 and 75,541.74

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Solution

The fourth proportional to 114,303.66, 157,670.31 and 75,541.74 is: 104,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,303.66 : 157,670.31 = 75,541.74 : x
  2. Step 2: Convert to fraction form
    114,303.66/157,670.31 = 75,541.74/x
  3. Step 3: Cross multiply
    114,303.66x = 157,670.31 × 75,541.74
  4. Step 4: Simplify right side
    114,303.66x = 11,910,689,563.74
  5. Step 5: Solve for x
    x = 11,910,689,563.74/114,303.66
  6. Step 6: Final answer
    x = 104,202.17

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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.