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Finding the Fourth Proportional to 114,382.13, 157,847.33 and 69,670.13

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Solution

The fourth proportional to 114,382.13, 157,847.33 and 69,670.13 is: 96,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,382.13 : 157,847.33 = 69,670.13 : x
  2. Step 2: Convert to fraction form
    114,382.13/157,847.33 = 69,670.13/x
  3. Step 3: Cross multiply
    114,382.13x = 157,847.33 × 69,670.13
  4. Step 4: Simplify right side
    114,382.13x = 10,997,243,386.19
  5. Step 5: Solve for x
    x = 10,997,243,386.19/114,382.13
  6. Step 6: Final answer
    x = 96,144.77

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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.