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Finding the Fourth Proportional to 184,730, 277,141.08 and 53,402

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Solution

The fourth proportional to 184,730, 277,141.08 and 53,402 is: 80,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,730 : 277,141.08 = 53,402 : x
  2. Step 2: Convert to fraction form
    184,730/277,141.08 = 53,402/x
  3. Step 3: Cross multiply
    184,730x = 277,141.08 × 53,402
  4. Step 4: Simplify right side
    184,730x = 14,799,887,954.16
  5. Step 5: Solve for x
    x = 14,799,887,954.16/184,730
  6. Step 6: Final answer
    x = 80,116.32

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