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Finding the Fourth Proportional to 178,141.86, 245,827.03 and 97,569.74

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Solution

The fourth proportional to 178,141.86, 245,827.03 and 97,569.74 is: 134,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,141.86 : 245,827.03 = 97,569.74 : x
  2. Step 2: Convert to fraction form
    178,141.86/245,827.03 = 97,569.74/x
  3. Step 3: Cross multiply
    178,141.86x = 245,827.03 × 97,569.74
  4. Step 4: Simplify right side
    178,141.86x = 23,985,279,402.07
  5. Step 5: Solve for x
    x = 23,985,279,402.07/178,141.86
  6. Step 6: Final answer
    x = 134,641.46

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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.