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Finding the Fourth Proportional to 141,495.16, 195,261.24 and 77,829.16

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Solution

The fourth proportional to 141,495.16, 195,261.24 and 77,829.16 is: 107,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,495.16 : 195,261.24 = 77,829.16 : x
  2. Step 2: Convert to fraction form
    141,495.16/195,261.24 = 77,829.16/x
  3. Step 3: Cross multiply
    141,495.16x = 195,261.24 × 77,829.16
  4. Step 4: Simplify right side
    141,495.16x = 15,197,018,289.76
  5. Step 5: Solve for x
    x = 15,197,018,289.76/141,495.16
  6. Step 6: Final answer
    x = 107,403.10

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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.