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Finding the Fourth Proportional to 140,419.34, 210,629.02 and 46,925.09

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Solution

The fourth proportional to 140,419.34, 210,629.02 and 46,925.09 is: 70,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,419.34 : 210,629.02 = 46,925.09 : x
  2. Step 2: Convert to fraction form
    140,419.34/210,629.02 = 46,925.09/x
  3. Step 3: Cross multiply
    140,419.34x = 210,629.02 × 46,925.09
  4. Step 4: Simplify right side
    140,419.34x = 9,883,786,334.00
  5. Step 5: Solve for x
    x = 9,883,786,334.00/140,419.34
  6. Step 6: Final answer
    x = 70,387.64

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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.