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Finding the Fourth Proportional to 501,851.88, 752,205.10 and 202,140.52

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Solution

The fourth proportional to 501,851.88, 752,205.10 and 202,140.52 is: 302,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,851.88 : 752,205.10 = 202,140.52 : x
  2. Step 2: Convert to fraction form
    501,851.88/752,205.10 = 202,140.52/x
  3. Step 3: Cross multiply
    501,851.88x = 752,205.10 × 202,140.52
  4. Step 4: Simplify right side
    501,851.88x = 152,051,130,060.65
  5. Step 5: Solve for x
    x = 152,051,130,060.65/501,851.88
  6. Step 6: Final answer
    x = 302,980.09

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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.