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Finding the Fourth Proportional to 257,188.59, 354,907.91 and 142,459.49

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Solution

The fourth proportional to 257,188.59, 354,907.91 and 142,459.49 is: 196,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,188.59 : 354,907.91 = 142,459.49 : x
  2. Step 2: Convert to fraction form
    257,188.59/354,907.91 = 142,459.49/x
  3. Step 3: Cross multiply
    257,188.59x = 354,907.91 × 142,459.49
  4. Step 4: Simplify right side
    257,188.59x = 50,559,997,368.73
  5. Step 5: Solve for x
    x = 50,559,997,368.73/257,188.59
  6. Step 6: Final answer
    x = 196,587.25

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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.