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Finding the Fourth Proportional to 176,762, 243,931.60 and 97,274

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Solution

The fourth proportional to 176,762, 243,931.60 and 97,274 is: 134,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,762 : 243,931.60 = 97,274 : x
  2. Step 2: Convert to fraction form
    176,762/243,931.60 = 97,274/x
  3. Step 3: Cross multiply
    176,762x = 243,931.60 × 97,274
  4. Step 4: Simplify right side
    176,762x = 23,728,202,458.40
  5. Step 5: Solve for x
    x = 23,728,202,458.40/176,762
  6. Step 6: Final answer
    x = 134,238.14

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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.