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Finding the Fourth Proportional to 176,465.16, 264,700.44 and 97,407.54

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Solution

The fourth proportional to 176,465.16, 264,700.44 and 97,407.54 is: 146,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,465.16 : 264,700.44 = 97,407.54 : x
  2. Step 2: Convert to fraction form
    176,465.16/264,700.44 = 97,407.54/x
  3. Step 3: Cross multiply
    176,465.16x = 264,700.44 × 97,407.54
  4. Step 4: Simplify right side
    176,465.16x = 25,783,818,697.32
  5. Step 5: Solve for x
    x = 25,783,818,697.32/176,465.16
  6. Step 6: Final answer
    x = 146,112.80

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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.