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Finding the Fourth Proportional to 214,117.59, 295,620.93 and 137,671.02

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Solution

The fourth proportional to 214,117.59, 295,620.93 and 137,671.02 is: 190,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,117.59 : 295,620.93 = 137,671.02 : x
  2. Step 2: Convert to fraction form
    214,117.59/295,620.93 = 137,671.02/x
  3. Step 3: Cross multiply
    214,117.59x = 295,620.93 × 137,671.02
  4. Step 4: Simplify right side
    214,117.59x = 40,698,434,966.45
  5. Step 5: Solve for x
    x = 40,698,434,966.45/214,117.59
  6. Step 6: Final answer
    x = 190,075.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.