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Finding the Fourth Proportional to 258,957.84, 357,395.88 and 145,802.64

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Solution

The fourth proportional to 258,957.84, 357,395.88 and 145,802.64 is: 201,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,957.84 : 357,395.88 = 145,802.64 : x
  2. Step 2: Convert to fraction form
    258,957.84/357,395.88 = 145,802.64/x
  3. Step 3: Cross multiply
    258,957.84x = 357,395.88 × 145,802.64
  4. Step 4: Simplify right side
    258,957.84x = 52,109,262,829.12
  5. Step 5: Solve for x
    x = 52,109,262,829.12/258,957.84
  6. Step 6: Final answer
    x = 201,226.82

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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.