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Finding the Fourth Proportional to 153,465.80, 211,815.48 and 103,135.64

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Solution

The fourth proportional to 153,465.80, 211,815.48 and 103,135.64 is: 142,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,465.80 : 211,815.48 = 103,135.64 : x
  2. Step 2: Convert to fraction form
    153,465.80/211,815.48 = 103,135.64/x
  3. Step 3: Cross multiply
    153,465.80x = 211,815.48 × 103,135.64
  4. Step 4: Simplify right side
    153,465.80x = 21,845,725,091.71
  5. Step 5: Solve for x
    x = 21,845,725,091.71/153,465.80
  6. Step 6: Final answer
    x = 142,349.14

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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.