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Finding the Fourth Proportional to 105,188.90, 157,784.74 and 35,068.23

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Solution

The fourth proportional to 105,188.90, 157,784.74 and 35,068.23 is: 52,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,188.90 : 157,784.74 = 35,068.23 : x
  2. Step 2: Convert to fraction form
    105,188.90/157,784.74 = 35,068.23/x
  3. Step 3: Cross multiply
    105,188.90x = 157,784.74 × 35,068.23
  4. Step 4: Simplify right side
    105,188.90x = 5,533,231,465.14
  5. Step 5: Solve for x
    x = 5,533,231,465.14/105,188.90
  6. Step 6: Final answer
    x = 52,602.81

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1.5x scale

Why These Related Problems?

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