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Finding the Fourth Proportional to 151,053.60, 208,459.32 and 83,075.84

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Solution

The fourth proportional to 151,053.60, 208,459.32 and 83,075.84 is: 114,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,053.60 : 208,459.32 = 83,075.84 : x
  2. Step 2: Convert to fraction form
    151,053.60/208,459.32 = 83,075.84/x
  3. Step 3: Cross multiply
    151,053.60x = 208,459.32 × 83,075.84
  4. Step 4: Simplify right side
    151,053.60x = 17,317,932,072.53
  5. Step 5: Solve for x
    x = 17,317,932,072.53/151,053.60
  6. Step 6: Final answer
    x = 114,647.60

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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.