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Finding the Fourth Proportional to 114,357.14, 157,812.86 and 64,056.14

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Solution

The fourth proportional to 114,357.14, 157,812.86 and 64,056.14 is: 88,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,357.14 : 157,812.86 = 64,056.14 : x
  2. Step 2: Convert to fraction form
    114,357.14/157,812.86 = 64,056.14/x
  3. Step 3: Cross multiply
    114,357.14x = 157,812.86 × 64,056.14
  4. Step 4: Simplify right side
    114,357.14x = 10,108,881,544.62
  5. Step 5: Solve for x
    x = 10,108,881,544.62/114,357.14
  6. Step 6: Final answer
    x = 88,397.47

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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.