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Finding the Fourth Proportional to 164,877.60, 247,316.40 and 46,547.40

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Solution

The fourth proportional to 164,877.60, 247,316.40 and 46,547.40 is: 69,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,877.60 : 247,316.40 = 46,547.40 : x
  2. Step 2: Convert to fraction form
    164,877.60/247,316.40 = 46,547.40/x
  3. Step 3: Cross multiply
    164,877.60x = 247,316.40 × 46,547.40
  4. Step 4: Simplify right side
    164,877.60x = 11,511,935,397.36
  5. Step 5: Solve for x
    x = 11,511,935,397.36/164,877.60
  6. Step 6: Final answer
    x = 69,821.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.