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Finding the Fourth Proportional to 163,969.60, 230,024 and 163,969.60

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Solution

The fourth proportional to 163,969.60, 230,024 and 163,969.60 is: 230,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,969.60 : 230,024 = 163,969.60 : x
  2. Step 2: Convert to fraction form
    163,969.60/230,024 = 163,969.60/x
  3. Step 3: Cross multiply
    163,969.60x = 230,024 × 163,969.60
  4. Step 4: Simplify right side
    163,969.60x = 37,716,943,270.40
  5. Step 5: Solve for x
    x = 37,716,943,270.40/163,969.60
  6. Step 6: Final answer
    x = 230,024

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.