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Finding the Fourth Proportional to 190,855.35, 286,292.88 and 48,701.88

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Solution

The fourth proportional to 190,855.35, 286,292.88 and 48,701.88 is: 73,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,855.35 : 286,292.88 = 48,701.88 : x
  2. Step 2: Convert to fraction form
    190,855.35/286,292.88 = 48,701.88/x
  3. Step 3: Cross multiply
    190,855.35x = 286,292.88 × 48,701.88
  4. Step 4: Simplify right side
    190,855.35x = 13,943,001,486.61
  5. Step 5: Solve for x
    x = 13,943,001,486.61/190,855.35
  6. Step 6: Final answer
    x = 73,055.33

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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.