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Finding the Fourth Proportional to 157,094.76, 235,686.06 and 51,987.72

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Solution

The fourth proportional to 157,094.76, 235,686.06 and 51,987.72 is: 77,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,094.76 : 235,686.06 = 51,987.72 : x
  2. Step 2: Convert to fraction form
    157,094.76/235,686.06 = 51,987.72/x
  3. Step 3: Cross multiply
    157,094.76x = 235,686.06 × 51,987.72
  4. Step 4: Simplify right side
    157,094.76x = 12,252,780,895.18
  5. Step 5: Solve for x
    x = 12,252,780,895.18/157,094.76
  6. Step 6: Final answer
    x = 77,996.11

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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.