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Finding the Fourth Proportional to 114,114.48, 157,424.94 and 73,841.28

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Solution

The fourth proportional to 114,114.48, 157,424.94 and 73,841.28 is: 101,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,114.48 : 157,424.94 = 73,841.28 : x
  2. Step 2: Convert to fraction form
    114,114.48/157,424.94 = 73,841.28/x
  3. Step 3: Cross multiply
    114,114.48x = 157,424.94 × 73,841.28
  4. Step 4: Simplify right side
    114,114.48x = 11,624,459,073.52
  5. Step 5: Solve for x
    x = 11,624,459,073.52/114,114.48
  6. Step 6: Final answer
    x = 101,866.64

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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.