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Finding the Fourth Proportional to 204,689.95, 282,492.93 and 114,060.67

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Solution

The fourth proportional to 204,689.95, 282,492.93 and 114,060.67 is: 157,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.95 : 282,492.93 = 114,060.67 : x
  2. Step 2: Convert to fraction form
    204,689.95/282,492.93 = 114,060.67/x
  3. Step 3: Cross multiply
    204,689.95x = 282,492.93 × 114,060.67
  4. Step 4: Simplify right side
    204,689.95x = 32,221,332,866.06
  5. Step 5: Solve for x
    x = 32,221,332,866.06/204,689.95
  6. Step 6: Final answer
    x = 157,415.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.