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Finding the Fourth Proportional to 157,957.65, 236,978.02 and 56,765.93

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Solution

The fourth proportional to 157,957.65, 236,978.02 and 56,765.93 is: 85,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,957.65 : 236,978.02 = 56,765.93 : x
  2. Step 2: Convert to fraction form
    157,957.65/236,978.02 = 56,765.93/x
  3. Step 3: Cross multiply
    157,957.65x = 236,978.02 × 56,765.93
  4. Step 4: Simplify right side
    157,957.65x = 13,452,276,509.97
  5. Step 5: Solve for x
    x = 13,452,276,509.97/157,957.65
  6. Step 6: Final answer
    x = 85,163.82

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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.