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Finding the Fourth Proportional to 217,271.20, 325,809.60 and 98,881.60

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Solution

The fourth proportional to 217,271.20, 325,809.60 and 98,881.60 is: 148,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,271.20 : 325,809.60 = 98,881.60 : x
  2. Step 2: Convert to fraction form
    217,271.20/325,809.60 = 98,881.60/x
  3. Step 3: Cross multiply
    217,271.20x = 325,809.60 × 98,881.60
  4. Step 4: Simplify right side
    217,271.20x = 32,216,574,543.36
  5. Step 5: Solve for x
    x = 32,216,574,543.36/217,271.20
  6. Step 6: Final answer
    x = 148,278.16

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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.