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Finding the Fourth Proportional to 295,173, 442,802.70 and 95,427

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Solution

The fourth proportional to 295,173, 442,802.70 and 95,427 is: 143,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,173 : 442,802.70 = 95,427 : x
  2. Step 2: Convert to fraction form
    295,173/442,802.70 = 95,427/x
  3. Step 3: Cross multiply
    295,173x = 442,802.70 × 95,427
  4. Step 4: Simplify right side
    295,173x = 42,255,333,252.90
  5. Step 5: Solve for x
    x = 42,255,333,252.90/295,173
  6. Step 6: Final answer
    x = 143,154.47

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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.