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Finding the Fourth Proportional to 202,966.51, 280,089.36 and 111,085.35

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Solution

The fourth proportional to 202,966.51, 280,089.36 and 111,085.35 is: 153,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,966.51 : 280,089.36 = 111,085.35 : x
  2. Step 2: Convert to fraction form
    202,966.51/280,089.36 = 111,085.35/x
  3. Step 3: Cross multiply
    202,966.51x = 280,089.36 × 111,085.35
  4. Step 4: Simplify right side
    202,966.51x = 31,113,824,586.88
  5. Step 5: Solve for x
    x = 31,113,824,586.88/202,966.51
  6. Step 6: Final answer
    x = 153,295.36

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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.