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Finding the Fourth Proportional to 125,341.16, 172,970.34 and 77,585

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Solution

The fourth proportional to 125,341.16, 172,970.34 and 77,585 is: 107,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,341.16 : 172,970.34 = 77,585 : x
  2. Step 2: Convert to fraction form
    125,341.16/172,970.34 = 77,585/x
  3. Step 3: Cross multiply
    125,341.16x = 172,970.34 × 77,585
  4. Step 4: Simplify right side
    125,341.16x = 13,419,903,828.90
  5. Step 5: Solve for x
    x = 13,419,903,828.90/125,341.16
  6. Step 6: Final answer
    x = 107,067.01

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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.