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Finding the Fourth Proportional to 157,054.70, 235,492.54 and 107,195.16

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Solution

The fourth proportional to 157,054.70, 235,492.54 and 107,195.16 is: 160,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054.70 : 235,492.54 = 107,195.16 : x
  2. Step 2: Convert to fraction form
    157,054.70/235,492.54 = 107,195.16/x
  3. Step 3: Cross multiply
    157,054.70x = 235,492.54 × 107,195.16
  4. Step 4: Simplify right side
    157,054.70x = 25,243,660,504.11
  5. Step 5: Solve for x
    x = 25,243,660,504.11/157,054.70
  6. Step 6: Final answer
    x = 160,731.65

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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.