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Finding the Fourth Proportional to 152,300.25, 210,174.35 and 85,232.25

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Solution

The fourth proportional to 152,300.25, 210,174.35 and 85,232.25 is: 117,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300.25 : 210,174.35 = 85,232.25 : x
  2. Step 2: Convert to fraction form
    152,300.25/210,174.35 = 85,232.25/x
  3. Step 3: Cross multiply
    152,300.25x = 210,174.35 × 85,232.25
  4. Step 4: Simplify right side
    152,300.25x = 17,913,632,316.63
  5. Step 5: Solve for x
    x = 17,913,632,316.63/152,300.25
  6. Step 6: Final answer
    x = 117,620.51

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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.