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Finding the Fourth Proportional to 191,994.29, 287,966.06 and 57,055.47

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Solution

The fourth proportional to 191,994.29, 287,966.06 and 57,055.47 is: 85,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,994.29 : 287,966.06 = 57,055.47 : x
  2. Step 2: Convert to fraction form
    191,994.29/287,966.06 = 57,055.47/x
  3. Step 3: Cross multiply
    191,994.29x = 287,966.06 × 57,055.47
  4. Step 4: Simplify right side
    191,994.29x = 16,430,038,612.07
  5. Step 5: Solve for x
    x = 16,430,038,612.07/191,994.29
  6. Step 6: Final answer
    x = 85,575.66

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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.