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Finding the Fourth Proportional to 153,994, 212,511.72 and 83,338

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Solution

The fourth proportional to 153,994, 212,511.72 and 83,338 is: 115,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994 : 212,511.72 = 83,338 : x
  2. Step 2: Convert to fraction form
    153,994/212,511.72 = 83,338/x
  3. Step 3: Cross multiply
    153,994x = 212,511.72 × 83,338
  4. Step 4: Simplify right side
    153,994x = 17,710,301,721.36
  5. Step 5: Solve for x
    x = 17,710,301,721.36/153,994
  6. Step 6: Final answer
    x = 115,006.44

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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.