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Finding the Fourth Proportional to 114,303.93, 157,705.29 and 73,953.78

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Solution

The fourth proportional to 114,303.93, 157,705.29 and 73,953.78 is: 102,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,303.93 : 157,705.29 = 73,953.78 : x
  2. Step 2: Convert to fraction form
    114,303.93/157,705.29 = 73,953.78/x
  3. Step 3: Cross multiply
    114,303.93x = 157,705.29 × 73,953.78
  4. Step 4: Simplify right side
    114,303.93x = 11,662,902,321.50
  5. Step 5: Solve for x
    x = 11,662,902,321.50/114,303.93
  6. Step 6: Final answer
    x = 102,034.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.