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Finding the Fourth Proportional to 176,520, 243,597.60 and 97,032

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Solution

The fourth proportional to 176,520, 243,597.60 and 97,032 is: 133,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,520 : 243,597.60 = 97,032 : x
  2. Step 2: Convert to fraction form
    176,520/243,597.60 = 97,032/x
  3. Step 3: Cross multiply
    176,520x = 243,597.60 × 97,032
  4. Step 4: Simplify right side
    176,520x = 23,636,762,323.20
  5. Step 5: Solve for x
    x = 23,636,762,323.20/176,520
  6. Step 6: Final answer
    x = 133,904.16

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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.