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Finding the Fourth Proportional to 259,097, 357,643.32 and 151,701.53

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Solution

The fourth proportional to 259,097, 357,643.32 and 151,701.53 is: 209,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,097 : 357,643.32 = 151,701.53 : x
  2. Step 2: Convert to fraction form
    259,097/357,643.32 = 151,701.53/x
  3. Step 3: Cross multiply
    259,097x = 357,643.32 × 151,701.53
  4. Step 4: Simplify right side
    259,097x = 54,255,038,838.28
  5. Step 5: Solve for x
    x = 54,255,038,838.28/259,097
  6. Step 6: Final answer
    x = 209,400.49

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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.