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Finding the Fourth Proportional to 176,552, 243,641.76 and 97,064

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Solution

The fourth proportional to 176,552, 243,641.76 and 97,064 is: 133,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552 : 243,641.76 = 97,064 : x
  2. Step 2: Convert to fraction form
    176,552/243,641.76 = 97,064/x
  3. Step 3: Cross multiply
    176,552x = 243,641.76 × 97,064
  4. Step 4: Simplify right side
    176,552x = 23,648,843,792.64
  5. Step 5: Solve for x
    x = 23,648,843,792.64/176,552
  6. Step 6: Final answer
    x = 133,948.32

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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.