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Finding the Fourth Proportional to 133,095.60, 199,643.40 and 98,103.60

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Solution

The fourth proportional to 133,095.60, 199,643.40 and 98,103.60 is: 147,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,095.60 : 199,643.40 = 98,103.60 : x
  2. Step 2: Convert to fraction form
    133,095.60/199,643.40 = 98,103.60/x
  3. Step 3: Cross multiply
    133,095.60x = 199,643.40 × 98,103.60
  4. Step 4: Simplify right side
    133,095.60x = 19,585,736,256.24
  5. Step 5: Solve for x
    x = 19,585,736,256.24/133,095.60
  6. Step 6: Final answer
    x = 147,155.40

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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.