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Finding the Fourth Proportional to 153,872.14, 230,633.24 and 65,070.22

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Solution

The fourth proportional to 153,872.14, 230,633.24 and 65,070.22 is: 97,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.14 : 230,633.24 = 65,070.22 : x
  2. Step 2: Convert to fraction form
    153,872.14/230,633.24 = 65,070.22/x
  3. Step 3: Cross multiply
    153,872.14x = 230,633.24 × 65,070.22
  4. Step 4: Simplify right side
    153,872.14x = 15,007,355,666.11
  5. Step 5: Solve for x
    x = 15,007,355,666.11/153,872.14
  6. Step 6: Final answer
    x = 97,531.34

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1.5x scale

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.