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Finding the Fourth Proportional to 122,544.40, 183,509.40 and 97,968.40

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Solution

The fourth proportional to 122,544.40, 183,509.40 and 97,968.40 is: 146,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,544.40 : 183,509.40 = 97,968.40 : x
  2. Step 2: Convert to fraction form
    122,544.40/183,509.40 = 97,968.40/x
  3. Step 3: Cross multiply
    122,544.40x = 183,509.40 × 97,968.40
  4. Step 4: Simplify right side
    122,544.40x = 17,978,122,302.96
  5. Step 5: Solve for x
    x = 17,978,122,302.96/122,544.40
  6. Step 6: Final answer
    x = 146,707.01

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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.