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Finding the Fourth Proportional to 153,417.99, 211,607.77 and 102,405

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Solution

The fourth proportional to 153,417.99, 211,607.77 and 102,405 is: 141,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,417.99 : 211,607.77 = 102,405 : x
  2. Step 2: Convert to fraction form
    153,417.99/211,607.77 = 102,405/x
  3. Step 3: Cross multiply
    153,417.99x = 211,607.77 × 102,405
  4. Step 4: Simplify right side
    153,417.99x = 21,669,693,686.85
  5. Step 5: Solve for x
    x = 21,669,693,686.85/153,417.99
  6. Step 6: Final answer
    x = 141,246.11

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