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Finding the Fourth Proportional to 280,400.09, 386,950.15 and 153,075.68

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Solution

The fourth proportional to 280,400.09, 386,950.15 and 153,075.68 is: 211,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,400.09 : 386,950.15 = 153,075.68 : x
  2. Step 2: Convert to fraction form
    280,400.09/386,950.15 = 153,075.68/x
  3. Step 3: Cross multiply
    280,400.09x = 386,950.15 × 153,075.68
  4. Step 4: Simplify right side
    280,400.09x = 59,232,658,203.73
  5. Step 5: Solve for x
    x = 59,232,658,203.73/280,400.09
  6. Step 6: Final answer
    x = 211,243.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.