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Finding the Fourth Proportional to 144,956.16, 199,980.41 and 97,224.89

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Solution

The fourth proportional to 144,956.16, 199,980.41 and 97,224.89 is: 134,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,956.16 : 199,980.41 = 97,224.89 : x
  2. Step 2: Convert to fraction form
    144,956.16/199,980.41 = 97,224.89/x
  3. Step 3: Cross multiply
    144,956.16x = 199,980.41 × 97,224.89
  4. Step 4: Simplify right side
    144,956.16x = 19,443,071,878.38
  5. Step 5: Solve for x
    x = 19,443,071,878.38/144,956.16
  6. Step 6: Final answer
    x = 134,130.70

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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.