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Finding the Fourth Proportional to 209,657.12, 314,496.48 and 59,885.60

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Solution

The fourth proportional to 209,657.12, 314,496.48 and 59,885.60 is: 89,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,657.12 : 314,496.48 = 59,885.60 : x
  2. Step 2: Convert to fraction form
    209,657.12/314,496.48 = 59,885.60/x
  3. Step 3: Cross multiply
    209,657.12x = 314,496.48 × 59,885.60
  4. Step 4: Simplify right side
    209,657.12x = 18,833,810,402.69
  5. Step 5: Solve for x
    x = 18,833,810,402.69/209,657.12
  6. Step 6: Final answer
    x = 89,831.48

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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.