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Finding the Fourth Proportional to 190,847.80, 286,271.70 and 102,055.60

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Solution

The fourth proportional to 190,847.80, 286,271.70 and 102,055.60 is: 153,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,847.80 : 286,271.70 = 102,055.60 : x
  2. Step 2: Convert to fraction form
    190,847.80/286,271.70 = 102,055.60/x
  3. Step 3: Cross multiply
    190,847.80x = 286,271.70 × 102,055.60
  4. Step 4: Simplify right side
    190,847.80x = 29,215,630,106.52
  5. Step 5: Solve for x
    x = 29,215,630,106.52/190,847.80
  6. Step 6: Final answer
    x = 153,083.40

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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.