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Finding the Fourth Proportional to 261,009.12, 360,217.84 and 146,307.24

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Solution

The fourth proportional to 261,009.12, 360,217.84 and 146,307.24 is: 201,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,009.12 : 360,217.84 = 146,307.24 : x
  2. Step 2: Convert to fraction form
    261,009.12/360,217.84 = 146,307.24/x
  3. Step 3: Cross multiply
    261,009.12x = 360,217.84 × 146,307.24
  4. Step 4: Simplify right side
    261,009.12x = 52,702,477,969.16
  5. Step 5: Solve for x
    x = 52,702,477,969.16/261,009.12
  6. Step 6: Final answer
    x = 201,918.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.