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Finding the Fourth Proportional to 208,075.90, 287,145.74 and 117,435.68

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Solution

The fourth proportional to 208,075.90, 287,145.74 and 117,435.68 is: 162,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,075.90 : 287,145.74 = 117,435.68 : x
  2. Step 2: Convert to fraction form
    208,075.90/287,145.74 = 117,435.68/x
  3. Step 3: Cross multiply
    208,075.90x = 287,145.74 × 117,435.68
  4. Step 4: Simplify right side
    208,075.90x = 33,721,155,236.00
  5. Step 5: Solve for x
    x = 33,721,155,236.00/208,075.90
  6. Step 6: Final answer
    x = 162,061.80

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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.