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Finding the Fourth Proportional to 114,342.65, 157,804.54 and 65,946.47

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Solution

The fourth proportional to 114,342.65, 157,804.54 and 65,946.47 is: 91,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,342.65 : 157,804.54 = 65,946.47 : x
  2. Step 2: Convert to fraction form
    114,342.65/157,804.54 = 65,946.47/x
  3. Step 3: Cross multiply
    114,342.65x = 157,804.54 × 65,946.47
  4. Step 4: Simplify right side
    114,342.65x = 10,406,651,409.08
  5. Step 5: Solve for x
    x = 10,406,651,409.08/114,342.65
  6. Step 6: Final answer
    x = 91,012.86

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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.