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Finding the Fourth Proportional to 213,798.39, 295,158.89 and 145,916.64

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Solution

The fourth proportional to 213,798.39, 295,158.89 and 145,916.64 is: 201,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,798.39 : 295,158.89 = 145,916.64 : x
  2. Step 2: Convert to fraction form
    213,798.39/295,158.89 = 145,916.64/x
  3. Step 3: Cross multiply
    213,798.39x = 295,158.89 × 145,916.64
  4. Step 4: Simplify right side
    213,798.39x = 43,068,593,038.94
  5. Step 5: Solve for x
    x = 43,068,593,038.94/213,798.39
  6. Step 6: Final answer
    x = 201,444.89

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1.5x scale

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.