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Finding the Fourth Proportional to 194,528.07, 291,792.09 and 46,784.07

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Solution

The fourth proportional to 194,528.07, 291,792.09 and 46,784.07 is: 70,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,528.07 : 291,792.09 = 46,784.07 : x
  2. Step 2: Convert to fraction form
    194,528.07/291,792.09 = 46,784.07/x
  3. Step 3: Cross multiply
    194,528.07x = 291,792.09 × 46,784.07
  4. Step 4: Simplify right side
    194,528.07x = 13,651,221,564.01
  5. Step 5: Solve for x
    x = 13,651,221,564.01/194,528.07
  6. Step 6: Final answer
    x = 70,176.10

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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.