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Finding the Fourth Proportional to 150,967.66, 208,381.80 and 97,252.51

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Solution

The fourth proportional to 150,967.66, 208,381.80 and 97,252.51 is: 134,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,967.66 : 208,381.80 = 97,252.51 : x
  2. Step 2: Convert to fraction form
    150,967.66/208,381.80 = 97,252.51/x
  3. Step 3: Cross multiply
    150,967.66x = 208,381.80 × 97,252.51
  4. Step 4: Simplify right side
    150,967.66x = 20,265,653,088.32
  5. Step 5: Solve for x
    x = 20,265,653,088.32/150,967.66
  6. Step 6: Final answer
    x = 134,238.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.