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Finding the Fourth Proportional to 212,295.06, 292,972.14 and 116,804.16

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Solution

The fourth proportional to 212,295.06, 292,972.14 and 116,804.16 is: 161,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,295.06 : 292,972.14 = 116,804.16 : x
  2. Step 2: Convert to fraction form
    212,295.06/292,972.14 = 116,804.16/x
  3. Step 3: Cross multiply
    212,295.06x = 292,972.14 × 116,804.16
  4. Step 4: Simplify right side
    212,295.06x = 34,220,364,716.10
  5. Step 5: Solve for x
    x = 34,220,364,716.10/212,295.06
  6. Step 6: Final answer
    x = 161,192.47

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1.5x scale

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.