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Finding the Fourth Proportional to 176,509, 243,582.42 and 97,021

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Solution

The fourth proportional to 176,509, 243,582.42 and 97,021 is: 133,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,509 : 243,582.42 = 97,021 : x
  2. Step 2: Convert to fraction form
    176,509/243,582.42 = 97,021/x
  3. Step 3: Cross multiply
    176,509x = 243,582.42 × 97,021
  4. Step 4: Simplify right side
    176,509x = 23,632,609,970.82
  5. Step 5: Solve for x
    x = 23,632,609,970.82/176,509
  6. Step 6: Final answer
    x = 133,888.98

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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.