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Finding the Fourth Proportional to 147,041.78, 219,566.66 and 116,715.78

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Solution

The fourth proportional to 147,041.78, 219,566.66 and 116,715.78 is: 174,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,041.78 : 219,566.66 = 116,715.78 : x
  2. Step 2: Convert to fraction form
    147,041.78/219,566.66 = 116,715.78/x
  3. Step 3: Cross multiply
    147,041.78x = 219,566.66 × 116,715.78
  4. Step 4: Simplify right side
    147,041.78x = 25,626,893,400.32
  5. Step 5: Solve for x
    x = 25,626,893,400.32/147,041.78
  6. Step 6: Final answer
    x = 174,283.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.