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Finding the Fourth Proportional to 237,643.20, 356,666.40 and 97,502.40

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Solution

The fourth proportional to 237,643.20, 356,666.40 and 97,502.40 is: 146,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,643.20 : 356,666.40 = 97,502.40 : x
  2. Step 2: Convert to fraction form
    237,643.20/356,666.40 = 97,502.40/x
  3. Step 3: Cross multiply
    237,643.20x = 356,666.40 × 97,502.40
  4. Step 4: Simplify right side
    237,643.20x = 34,775,829,999.36
  5. Step 5: Solve for x
    x = 34,775,829,999.36/237,643.20
  6. Step 6: Final answer
    x = 146,336.31

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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.