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Finding the Fourth Proportional to 157,643.70, 236,465.55 and 149,090.10

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Solution

The fourth proportional to 157,643.70, 236,465.55 and 149,090.10 is: 223,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,643.70 : 236,465.55 = 149,090.10 : x
  2. Step 2: Convert to fraction form
    157,643.70/236,465.55 = 149,090.10/x
  3. Step 3: Cross multiply
    157,643.70x = 236,465.55 × 149,090.10
  4. Step 4: Simplify right side
    157,643.70x = 35,254,672,496.06
  5. Step 5: Solve for x
    x = 35,254,672,496.06/157,643.70
  6. Step 6: Final answer
    x = 223,635.15

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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.