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Finding the Fourth Proportional to 212,032.53, 292,605.53 and 116,549.01

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Solution

The fourth proportional to 212,032.53, 292,605.53 and 116,549.01 is: 160,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,032.53 : 292,605.53 = 116,549.01 : x
  2. Step 2: Convert to fraction form
    212,032.53/292,605.53 = 116,549.01/x
  3. Step 3: Cross multiply
    212,032.53x = 292,605.53 × 116,549.01
  4. Step 4: Simplify right side
    212,032.53x = 34,102,884,259.28
  5. Step 5: Solve for x
    x = 34,102,884,259.28/212,032.53
  6. Step 6: Final answer
    x = 160,837.98

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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.