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Finding the Fourth Proportional to 176,582, 243,683.16 and 101,135.36

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Solution

The fourth proportional to 176,582, 243,683.16 and 101,135.36 is: 139,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,582 : 243,683.16 = 101,135.36 : x
  2. Step 2: Convert to fraction form
    176,582/243,683.16 = 101,135.36/x
  3. Step 3: Cross multiply
    176,582x = 243,683.16 × 101,135.36
  4. Step 4: Simplify right side
    176,582x = 24,644,984,112.54
  5. Step 5: Solve for x
    x = 24,644,984,112.54/176,582
  6. Step 6: Final answer
    x = 139,566.80

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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.