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Finding the Fourth Proportional to 114,314.29, 157,746.08 and 63,323.57

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Solution

The fourth proportional to 114,314.29, 157,746.08 and 63,323.57 is: 87,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,314.29 : 157,746.08 = 63,323.57 : x
  2. Step 2: Convert to fraction form
    114,314.29/157,746.08 = 63,323.57/x
  3. Step 3: Cross multiply
    114,314.29x = 157,746.08 × 63,323.57
  4. Step 4: Simplify right side
    114,314.29x = 9,989,045,491.78
  5. Step 5: Solve for x
    x = 9,989,045,491.78/114,314.29
  6. Step 6: Final answer
    x = 87,382.30

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1.5x scale

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.