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Finding the Fourth Proportional to 104,907.66, 157,427.08 and 42,578.16

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Solution

The fourth proportional to 104,907.66, 157,427.08 and 42,578.16 is: 63,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,907.66 : 157,427.08 = 42,578.16 : x
  2. Step 2: Convert to fraction form
    104,907.66/157,427.08 = 42,578.16/x
  3. Step 3: Cross multiply
    104,907.66x = 157,427.08 × 42,578.16
  4. Step 4: Simplify right side
    104,907.66x = 6,702,955,400.57
  5. Step 5: Solve for x
    x = 6,702,955,400.57/104,907.66
  6. Step 6: Final answer
    x = 63,893.86

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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.