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Finding the Fourth Proportional to 201,829.06, 302,772.93 and 61,569.46

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Solution

The fourth proportional to 201,829.06, 302,772.93 and 61,569.46 is: 92,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.06 : 302,772.93 = 61,569.46 : x
  2. Step 2: Convert to fraction form
    201,829.06/302,772.93 = 61,569.46/x
  3. Step 3: Cross multiply
    201,829.06x = 302,772.93 × 61,569.46
  4. Step 4: Simplify right side
    201,829.06x = 18,641,565,802.72
  5. Step 5: Solve for x
    x = 18,641,565,802.72/201,829.06
  6. Step 6: Final answer
    x = 92,363.14

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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.