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Finding the Fourth Proportional to 194,994, 292,454.01 and 95,053.68

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Solution

The fourth proportional to 194,994, 292,454.01 and 95,053.68 is: 142,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,994 : 292,454.01 = 95,053.68 : x
  2. Step 2: Convert to fraction form
    194,994/292,454.01 = 95,053.68/x
  3. Step 3: Cross multiply
    194,994x = 292,454.01 × 95,053.68
  4. Step 4: Simplify right side
    194,994x = 27,798,829,881.26
  5. Step 5: Solve for x
    x = 27,798,829,881.26/194,994
  6. Step 6: Final answer
    x = 142,562.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.