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Finding the Fourth Proportional to 212,303.01, 292,978.15 and 116,809.70

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Solution

The fourth proportional to 212,303.01, 292,978.15 and 116,809.70 is: 161,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,303.01 : 292,978.15 = 116,809.70 : x
  2. Step 2: Convert to fraction form
    212,303.01/292,978.15 = 116,809.70/x
  3. Step 3: Cross multiply
    212,303.01x = 292,978.15 × 116,809.70
  4. Step 4: Simplify right side
    212,303.01x = 34,222,688,051.14
  5. Step 5: Solve for x
    x = 34,222,688,051.14/212,303.01
  6. Step 6: Final answer
    x = 161,197.38

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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.