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Finding the Fourth Proportional to 190,657.58, 285,984.32 and 46,564.70

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Solution

The fourth proportional to 190,657.58, 285,984.32 and 46,564.70 is: 69,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,657.58 : 285,984.32 = 46,564.70 : x
  2. Step 2: Convert to fraction form
    190,657.58/285,984.32 = 46,564.70/x
  3. Step 3: Cross multiply
    190,657.58x = 285,984.32 × 46,564.70
  4. Step 4: Simplify right side
    190,657.58x = 13,316,772,402.76
  5. Step 5: Solve for x
    x = 13,316,772,402.76/190,657.58
  6. Step 6: Final answer
    x = 69,846.54

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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.