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Finding the Fourth Proportional to 104,946, 144,828.56 and 57,202.44

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Solution

The fourth proportional to 104,946, 144,828.56 and 57,202.44 is: 78,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,946 : 144,828.56 = 57,202.44 : x
  2. Step 2: Convert to fraction form
    104,946/144,828.56 = 57,202.44/x
  3. Step 3: Cross multiply
    104,946x = 144,828.56 × 57,202.44
  4. Step 4: Simplify right side
    104,946x = 8,284,547,013.69
  5. Step 5: Solve for x
    x = 8,284,547,013.69/104,946
  6. Step 6: Final answer
    x = 78,941.05

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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.