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Finding the Fourth Proportional to 114,364.50, 157,823.04 and 64,064.58

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Solution

The fourth proportional to 114,364.50, 157,823.04 and 64,064.58 is: 88,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,364.50 : 157,823.04 = 64,064.58 : x
  2. Step 2: Convert to fraction form
    114,364.50/157,823.04 = 64,064.58/x
  3. Step 3: Cross multiply
    114,364.50x = 157,823.04 × 64,064.58
  4. Step 4: Simplify right side
    114,364.50x = 10,110,866,771.92
  5. Step 5: Solve for x
    x = 10,110,866,771.92/114,364.50
  6. Step 6: Final answer
    x = 88,409.14

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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.