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Finding the Fourth Proportional to 235,101.83, 352,777.28 and 102,075.48

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Solution

The fourth proportional to 235,101.83, 352,777.28 and 102,075.48 is: 153,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,101.83 : 352,777.28 = 102,075.48 : x
  2. Step 2: Convert to fraction form
    235,101.83/352,777.28 = 102,075.48/x
  3. Step 3: Cross multiply
    235,101.83x = 352,777.28 × 102,075.48
  4. Step 4: Simplify right side
    235,101.83x = 36,009,909,678.72
  5. Step 5: Solve for x
    x = 36,009,909,678.72/235,101.83
  6. Step 6: Final answer
    x = 153,167.29

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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.