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Finding the Fourth Proportional to 233,847.55, 322,710.51 and 130,486.11

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Solution

The fourth proportional to 233,847.55, 322,710.51 and 130,486.11 is: 180,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,847.55 : 322,710.51 = 130,486.11 : x
  2. Step 2: Convert to fraction form
    233,847.55/322,710.51 = 130,486.11/x
  3. Step 3: Cross multiply
    233,847.55x = 322,710.51 × 130,486.11
  4. Step 4: Simplify right side
    233,847.55x = 42,109,237,651.19
  5. Step 5: Solve for x
    x = 42,109,237,651.19/233,847.55
  6. Step 6: Final answer
    x = 180,071.32

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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.