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Finding the Fourth Proportional to 114,710.48, 157,934.28 and 97,875.92

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Solution

The fourth proportional to 114,710.48, 157,934.28 and 97,875.92 is: 134,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,710.48 : 157,934.28 = 97,875.92 : x
  2. Step 2: Convert to fraction form
    114,710.48/157,934.28 = 97,875.92/x
  3. Step 3: Cross multiply
    114,710.48x = 157,934.28 × 97,875.92
  4. Step 4: Simplify right side
    114,710.48x = 15,457,962,954.54
  5. Step 5: Solve for x
    x = 15,457,962,954.54/114,710.48
  6. Step 6: Final answer
    x = 134,756.33

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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.