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Finding the Fourth Proportional to 188,337.50, 259,907.66 and 102,298.16

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Solution

The fourth proportional to 188,337.50, 259,907.66 and 102,298.16 is: 141,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,337.50 : 259,907.66 = 102,298.16 : x
  2. Step 2: Convert to fraction form
    188,337.50/259,907.66 = 102,298.16/x
  3. Step 3: Cross multiply
    188,337.50x = 259,907.66 × 102,298.16
  4. Step 4: Simplify right side
    188,337.50x = 26,588,075,387.91
  5. Step 5: Solve for x
    x = 26,588,075,387.91/188,337.50
  6. Step 6: Final answer
    x = 141,172.50

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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.