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Finding the Fourth Proportional to 288,261.84, 432,386.82 and 96,150.18

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Solution

The fourth proportional to 288,261.84, 432,386.82 and 96,150.18 is: 144,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,261.84 : 432,386.82 = 96,150.18 : x
  2. Step 2: Convert to fraction form
    288,261.84/432,386.82 = 96,150.18/x
  3. Step 3: Cross multiply
    288,261.84x = 432,386.82 × 96,150.18
  4. Step 4: Simplify right side
    288,261.84x = 41,574,070,572.63
  5. Step 5: Solve for x
    x = 41,574,070,572.63/288,261.84
  6. Step 6: Final answer
    x = 144,223.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.