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Finding the Fourth Proportional to 149,032.80, 208,922.40 and 149,032.80

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Solution

The fourth proportional to 149,032.80, 208,922.40 and 149,032.80 is: 208,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,032.80 : 208,922.40 = 149,032.80 : x
  2. Step 2: Convert to fraction form
    149,032.80/208,922.40 = 149,032.80/x
  3. Step 3: Cross multiply
    149,032.80x = 208,922.40 × 149,032.80
  4. Step 4: Simplify right side
    149,032.80x = 31,136,290,254.72
  5. Step 5: Solve for x
    x = 31,136,290,254.72/149,032.80
  6. Step 6: Final answer
    x = 208,922.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.