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Finding the Fourth Proportional to 114,359.76, 157,782.32 and 74,009.60

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Solution

The fourth proportional to 114,359.76, 157,782.32 and 74,009.60 is: 102,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,359.76 : 157,782.32 = 74,009.60 : x
  2. Step 2: Convert to fraction form
    114,359.76/157,782.32 = 74,009.60/x
  3. Step 3: Cross multiply
    114,359.76x = 157,782.32 × 74,009.60
  4. Step 4: Simplify right side
    114,359.76x = 11,677,406,390.27
  5. Step 5: Solve for x
    x = 11,677,406,390.27/114,359.76
  6. Step 6: Final answer
    x = 102,111.15

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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.