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Finding the Fourth Proportional to 146,509.60, 219,764.40 and 97,261.60

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Solution

The fourth proportional to 146,509.60, 219,764.40 and 97,261.60 is: 145,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,509.60 : 219,764.40 = 97,261.60 : x
  2. Step 2: Convert to fraction form
    146,509.60/219,764.40 = 97,261.60/x
  3. Step 3: Cross multiply
    146,509.60x = 219,764.40 × 97,261.60
  4. Step 4: Simplify right side
    146,509.60x = 21,374,637,167.04
  5. Step 5: Solve for x
    x = 21,374,637,167.04/146,509.60
  6. Step 6: Final answer
    x = 145,892.40

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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.