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Finding the Fourth Proportional to 157,203.22, 235,724.72 and 77,246.50

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Solution

The fourth proportional to 157,203.22, 235,724.72 and 77,246.50 is: 115,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,203.22 : 235,724.72 = 77,246.50 : x
  2. Step 2: Convert to fraction form
    157,203.22/235,724.72 = 77,246.50/x
  3. Step 3: Cross multiply
    157,203.22x = 235,724.72 × 77,246.50
  4. Step 4: Simplify right side
    157,203.22x = 18,208,909,583.48
  5. Step 5: Solve for x
    x = 18,208,909,583.48/157,203.22
  6. Step 6: Final answer
    x = 115,830.39

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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.