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Finding the Fourth Proportional to 176,613, 243,725.94 and 97,125

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Solution

The fourth proportional to 176,613, 243,725.94 and 97,125 is: 134,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,613 : 243,725.94 = 97,125 : x
  2. Step 2: Convert to fraction form
    176,613/243,725.94 = 97,125/x
  3. Step 3: Cross multiply
    176,613x = 243,725.94 × 97,125
  4. Step 4: Simplify right side
    176,613x = 23,671,881,922.50
  5. Step 5: Solve for x
    x = 23,671,881,922.50/176,613
  6. Step 6: Final answer
    x = 134,032.50

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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.