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Finding the Fourth Proportional to 157,818.24, 236,766.72 and 47,009.28

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Solution

The fourth proportional to 157,818.24, 236,766.72 and 47,009.28 is: 70,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,818.24 : 236,766.72 = 47,009.28 : x
  2. Step 2: Convert to fraction form
    157,818.24/236,766.72 = 47,009.28/x
  3. Step 3: Cross multiply
    157,818.24x = 236,766.72 × 47,009.28
  4. Step 4: Simplify right side
    157,818.24x = 11,130,233,035.16
  5. Step 5: Solve for x
    x = 11,130,233,035.16/157,818.24
  6. Step 6: Final answer
    x = 70,525.64

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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.