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Finding the Fourth Proportional to 197,148.60, 295,917.30 and 97,421.40

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Solution

The fourth proportional to 197,148.60, 295,917.30 and 97,421.40 is: 146,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,148.60 : 295,917.30 = 97,421.40 : x
  2. Step 2: Convert to fraction form
    197,148.60/295,917.30 = 97,421.40/x
  3. Step 3: Cross multiply
    197,148.60x = 295,917.30 × 97,421.40
  4. Step 4: Simplify right side
    197,148.60x = 28,828,677,650.22
  5. Step 5: Solve for x
    x = 28,828,677,650.22/197,148.60
  6. Step 6: Final answer
    x = 146,228.16

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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.