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Finding the Fourth Proportional to 140,316.84, 210,407.04 and 46,791

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Solution

The fourth proportional to 140,316.84, 210,407.04 and 46,791 is: 70,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,316.84 : 210,407.04 = 46,791 : x
  2. Step 2: Convert to fraction form
    140,316.84/210,407.04 = 46,791/x
  3. Step 3: Cross multiply
    140,316.84x = 210,407.04 × 46,791
  4. Step 4: Simplify right side
    140,316.84x = 9,845,155,808.64
  5. Step 5: Solve for x
    x = 9,845,155,808.64/140,316.84
  6. Step 6: Final answer
    x = 70,163.75

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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.