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Finding the Fourth Proportional to 258,762.52, 357,088.62 and 145,585

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Solution

The fourth proportional to 258,762.52, 357,088.62 and 145,585 is: 200,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,762.52 : 357,088.62 = 145,585 : x
  2. Step 2: Convert to fraction form
    258,762.52/357,088.62 = 145,585/x
  3. Step 3: Cross multiply
    258,762.52x = 357,088.62 × 145,585
  4. Step 4: Simplify right side
    258,762.52x = 51,986,746,742.70
  5. Step 5: Solve for x
    x = 51,986,746,742.70/258,762.52
  6. Step 6: Final answer
    x = 200,905.24

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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.