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Finding the Fourth Proportional to 114,455, 157,952.76 and 64,154

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Solution

The fourth proportional to 114,455, 157,952.76 and 64,154 is: 88,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,455 : 157,952.76 = 64,154 : x
  2. Step 2: Convert to fraction form
    114,455/157,952.76 = 64,154/x
  3. Step 3: Cross multiply
    114,455x = 157,952.76 × 64,154
  4. Step 4: Simplify right side
    114,455x = 10,133,301,365.04
  5. Step 5: Solve for x
    x = 10,133,301,365.04/114,455
  6. Step 6: Final answer
    x = 88,535.24

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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.