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Finding the Fourth Proportional to 197,233.90, 295,656.45 and 97,312.30

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Solution

The fourth proportional to 197,233.90, 295,656.45 and 97,312.30 is: 145,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,233.90 : 295,656.45 = 97,312.30 : x
  2. Step 2: Convert to fraction form
    197,233.90/295,656.45 = 97,312.30/x
  3. Step 3: Cross multiply
    197,233.90x = 295,656.45 × 97,312.30
  4. Step 4: Simplify right side
    197,233.90x = 28,771,009,159.34
  5. Step 5: Solve for x
    x = 28,771,009,159.34/197,233.90
  6. Step 6: Final answer
    x = 145,872.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.