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Finding the Fourth Proportional to 157,093.40, 235,640.10 and 154,501.40

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Solution

The fourth proportional to 157,093.40, 235,640.10 and 154,501.40 is: 231,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,093.40 : 235,640.10 = 154,501.40 : x
  2. Step 2: Convert to fraction form
    157,093.40/235,640.10 = 154,501.40/x
  3. Step 3: Cross multiply
    157,093.40x = 235,640.10 × 154,501.40
  4. Step 4: Simplify right side
    157,093.40x = 36,406,725,346.14
  5. Step 5: Solve for x
    x = 36,406,725,346.14/157,093.40
  6. Step 6: Final answer
    x = 231,752.10

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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.