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Finding the Fourth Proportional to 157,973.76, 236,750.40 and 77,889.48

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Solution

The fourth proportional to 157,973.76, 236,750.40 and 77,889.48 is: 116,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,973.76 : 236,750.40 = 77,889.48 : x
  2. Step 2: Convert to fraction form
    157,973.76/236,750.40 = 77,889.48/x
  3. Step 3: Cross multiply
    157,973.76x = 236,750.40 × 77,889.48
  4. Step 4: Simplify right side
    157,973.76x = 18,440,365,545.79
  5. Step 5: Solve for x
    x = 18,440,365,545.79/157,973.76
  6. Step 6: Final answer
    x = 116,730.56

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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.