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Finding the Fourth Proportional to 242,289.60, 334,292.52 and 145,468.32

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Solution

The fourth proportional to 242,289.60, 334,292.52 and 145,468.32 is: 200,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,289.60 : 334,292.52 = 145,468.32 : x
  2. Step 2: Convert to fraction form
    242,289.60/334,292.52 = 145,468.32/x
  3. Step 3: Cross multiply
    242,289.60x = 334,292.52 × 145,468.32
  4. Step 4: Simplify right side
    242,289.60x = 48,628,971,272.97
  5. Step 5: Solve for x
    x = 48,628,971,272.97/242,289.60
  6. Step 6: Final answer
    x = 200,705.98

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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.