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Finding the Fourth Proportional to 176,499, 243,568.62 and 97,011

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Solution

The fourth proportional to 176,499, 243,568.62 and 97,011 is: 133,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,499 : 243,568.62 = 97,011 : x
  2. Step 2: Convert to fraction form
    176,499/243,568.62 = 97,011/x
  3. Step 3: Cross multiply
    176,499x = 243,568.62 × 97,011
  4. Step 4: Simplify right side
    176,499x = 23,628,835,394.82
  5. Step 5: Solve for x
    x = 23,628,835,394.82/176,499
  6. Step 6: Final answer
    x = 133,875.18

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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.