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Finding the Fourth Proportional to 141,457.51, 212,212.51 and 46,694.30

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Solution

The fourth proportional to 141,457.51, 212,212.51 and 46,694.30 is: 70,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,457.51 : 212,212.51 = 46,694.30 : x
  2. Step 2: Convert to fraction form
    141,457.51/212,212.51 = 46,694.30/x
  3. Step 3: Cross multiply
    141,457.51x = 212,212.51 × 46,694.30
  4. Step 4: Simplify right side
    141,457.51x = 9,909,114,024.74
  5. Step 5: Solve for x
    x = 9,909,114,024.74/141,457.51
  6. Step 6: Final answer
    x = 70,050.11

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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.