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Finding the Fourth Proportional to 157,507, 236,260.50 and 40,771

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Solution

The fourth proportional to 157,507, 236,260.50 and 40,771 is: 61,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,507 : 236,260.50 = 40,771 : x
  2. Step 2: Convert to fraction form
    157,507/236,260.50 = 40,771/x
  3. Step 3: Cross multiply
    157,507x = 236,260.50 × 40,771
  4. Step 4: Simplify right side
    157,507x = 9,632,576,845.50
  5. Step 5: Solve for x
    x = 9,632,576,845.50/157,507
  6. Step 6: Final answer
    x = 61,156.50

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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.