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Finding the Fourth Proportional to 229,804.13, 317,148.86 and 127,848.80

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Solution

The fourth proportional to 229,804.13, 317,148.86 and 127,848.80 is: 176,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,804.13 : 317,148.86 = 127,848.80 : x
  2. Step 2: Convert to fraction form
    229,804.13/317,148.86 = 127,848.80/x
  3. Step 3: Cross multiply
    229,804.13x = 317,148.86 × 127,848.80
  4. Step 4: Simplify right side
    229,804.13x = 40,547,102,284.86
  5. Step 5: Solve for x
    x = 40,547,102,284.86/229,804.13
  6. Step 6: Final answer
    x = 176,442.01

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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.