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Finding the Fourth Proportional to 200,802.42, 277,113.33 and 111,376.50

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Solution

The fourth proportional to 200,802.42, 277,113.33 and 111,376.50 is: 153,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.42 : 277,113.33 = 111,376.50 : x
  2. Step 2: Convert to fraction form
    200,802.42/277,113.33 = 111,376.50/x
  3. Step 3: Cross multiply
    200,802.42x = 277,113.33 × 111,376.50
  4. Step 4: Simplify right side
    200,802.42x = 30,863,912,798.75
  5. Step 5: Solve for x
    x = 30,863,912,798.75/200,802.42
  6. Step 6: Final answer
    x = 153,702.89

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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.