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Finding the Fourth Proportional to 161,802.64, 242,813.30 and 56,622.52

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Solution

The fourth proportional to 161,802.64, 242,813.30 and 56,622.52 is: 84,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802.64 : 242,813.30 = 56,622.52 : x
  2. Step 2: Convert to fraction form
    161,802.64/242,813.30 = 56,622.52/x
  3. Step 3: Cross multiply
    161,802.64x = 242,813.30 × 56,622.52
  4. Step 4: Simplify right side
    161,802.64x = 13,748,700,935.52
  5. Step 5: Solve for x
    x = 13,748,700,935.52/161,802.64
  6. Step 6: Final answer
    x = 84,972.04

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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.