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Finding the Fourth Proportional to 267,368.84, 401,033.76 and 98,810.57

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Solution

The fourth proportional to 267,368.84, 401,033.76 and 98,810.57 is: 148,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,368.84 : 401,033.76 = 98,810.57 : x
  2. Step 2: Convert to fraction form
    267,368.84/401,033.76 = 98,810.57/x
  3. Step 3: Cross multiply
    267,368.84x = 401,033.76 × 98,810.57
  4. Step 4: Simplify right side
    267,368.84x = 39,626,372,409.67
  5. Step 5: Solve for x
    x = 39,626,372,409.67/267,368.84
  6. Step 6: Final answer
    x = 148,208.64

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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.