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Finding the Fourth Proportional to 175,294, 241,955.34 and 103,698.90

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Solution

The fourth proportional to 175,294, 241,955.34 and 103,698.90 is: 143,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,294 : 241,955.34 = 103,698.90 : x
  2. Step 2: Convert to fraction form
    175,294/241,955.34 = 103,698.90/x
  3. Step 3: Cross multiply
    175,294x = 241,955.34 × 103,698.90
  4. Step 4: Simplify right side
    175,294x = 25,090,502,607.13
  5. Step 5: Solve for x
    x = 25,090,502,607.13/175,294
  6. Step 6: Final answer
    x = 143,133.84

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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.