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Finding the Fourth Proportional to 152,293.50, 210,159.77 and 84,313.44

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Solution

The fourth proportional to 152,293.50, 210,159.77 and 84,313.44 is: 116,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,293.50 : 210,159.77 = 84,313.44 : x
  2. Step 2: Convert to fraction form
    152,293.50/210,159.77 = 84,313.44/x
  3. Step 3: Cross multiply
    152,293.50x = 210,159.77 × 84,313.44
  4. Step 4: Simplify right side
    152,293.50x = 17,719,292,736.74
  5. Step 5: Solve for x
    x = 17,719,292,736.74/152,293.50
  6. Step 6: Final answer
    x = 116,349.63

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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.