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Finding the Fourth Proportional to 176,541.30, 264,925.35 and 97,712.10

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Solution

The fourth proportional to 176,541.30, 264,925.35 and 97,712.10 is: 146,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,541.30 : 264,925.35 = 97,712.10 : x
  2. Step 2: Convert to fraction form
    176,541.30/264,925.35 = 97,712.10/x
  3. Step 3: Cross multiply
    176,541.30x = 264,925.35 × 97,712.10
  4. Step 4: Simplify right side
    176,541.30x = 25,886,412,291.74
  5. Step 5: Solve for x
    x = 25,886,412,291.74/176,541.30
  6. Step 6: Final answer
    x = 146,630.91

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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.