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Finding the Fourth Proportional to 164,916.81, 247,209.03 and 65,038.41

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Solution

The fourth proportional to 164,916.81, 247,209.03 and 65,038.41 is: 97,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,916.81 : 247,209.03 = 65,038.41 : x
  2. Step 2: Convert to fraction form
    164,916.81/247,209.03 = 65,038.41/x
  3. Step 3: Cross multiply
    164,916.81x = 247,209.03 × 65,038.41
  4. Step 4: Simplify right side
    164,916.81x = 16,078,082,248.84
  5. Step 5: Solve for x
    x = 16,078,082,248.84/164,916.81
  6. Step 6: Final answer
    x = 97,492.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.