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Finding the Fourth Proportional to 201,468.06, 278,030.61 and 110,829.06

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Solution

The fourth proportional to 201,468.06, 278,030.61 and 110,829.06 is: 152,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,468.06 : 278,030.61 = 110,829.06 : x
  2. Step 2: Convert to fraction form
    201,468.06/278,030.61 = 110,829.06/x
  3. Step 3: Cross multiply
    201,468.06x = 278,030.61 × 110,829.06
  4. Step 4: Simplify right side
    201,468.06x = 30,813,871,157.53
  5. Step 5: Solve for x
    x = 30,813,871,157.53/201,468.06
  6. Step 6: Final answer
    x = 152,946.68

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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.